The decision to home-school your daughter is a huge, possibly life-changing decision. [As is choosing a school in many cases]. Often, searching parents end up soliciting information from other home-schooling parents, but they may not receive an impartial view from the home-schooling parents, who tend to defend their choices instead of giving accurate pros and cons to home-schooling. [Funny, because in this entire series of responses there hasn't been much reflection --except an insinuation that the parents might want to avoid tuition--as to why homeschooling is a word that is rolling off tongues of yeshiva parents. Might there be some real issues in yeshiva schools that parents are responding too? Social issues? Emotional issues? Family issues? Learning issues? Academic issues? Hashkafic issues? Pedagogic issues? As for homeschooling parents, I've spoken with the Jewish and non-Jewish homeschoolers and the responses regarding their reasons to homeschool and the planned duration are very diverse, ranging from "some time off" to tackle an issue to "we're going for the finish line"]. If you decide to go ahead with the home-schooling and you feel that your daughter is succeeding, it is most likely that you will continue this throughout her elementary years. You shouldn't only consider her situation at this juncture of her young life. It's important to look ahead at the big picture of her life now. [See above. There are no set rules].
There are serveral enticing reasons to home-school a child:
no bullying issues
curriculum is tailor-made according to the child's strengths and challenges
anxiety and stress of homework are non-factors
child's self-esteem remains intact throughout
emotional bond between parent and child is greatly reinforced
can generate stability if a family is going through a transition or ordeal
children are generally well-rested
the obvious fact that a home-schooled child can accomplish more in one day than their peers do in a week at school
There are also compelling reasons not to home-school a child:
Chazal say in Pirkei Avos: "Kol sheruach chachomim nocheh heimenu ruach habriyos nocheh heimenu." Since Yehoshue ben Gamla's time, chadorim have been set up for talmidim. Adults who are most matzliach in life are the ones who are me'urov im habriyos.
A friend related that in his elementary school years, there was an illui in his class who was two years younger than the rest of his classmates. While this boy excelled in learning, he never learned how to communicate properly and it unfortunately affected him as an adult and as a husband and father. [Uh, marriages and parents have issues! Nonsensical argument, besides the boy was in school]. Home-schooling your daughter will cause her to be different and may create issues with her choice of high schools and seminaries later on. [Finally, the crux of the issue: being different]. Since you are blessed with a choice of several schools in you kehillah, choose the one that best suits your daughter's needs. Allow the capable menaheles and moros/teachers to succeed with your daughter along with your encouragement and close contact with the school. [How different are these schools really, as the responses aren't much different].
Your reason for wanting a one year respite from school for your daughter so that she can "benefit from a year away from the social pressures and stress." To me, this implies that you are running away from a problem and hoping that it will go away. Not only will it not go away, but it will fester and, like any other problem not dealth with, it will only grow in reality and in her imagination and will probably multiply itself twofold or more. [What a strange response. Yes, we need to deal with problems, but sometimes getting away from an issue is a starting point, even for adults]
If she is having stress, you must find the reason for that stress and try, to the best of your ability, to alleviate the underlying causes that brought it about. I also do not understand how removing your daughter from her society will remove her social pressures. She can only overcome such social pressures by learning how to deal with others. I also do not agree with you when you say that she will benefit from being removed from the social scene. She must try to understand what is causing the problem and try to minimize it. She may not be able to do it on her own and may need expert held. [If the environment of the school is hefker and the staff is on a different page, it will be near impossible to deal with the issue. I've heard such sad stories (public school stories too) and sometimes a fresh start is the best course. Reading in between the lines I hear the "deal with it" hashkafa which can be vastly inappropriate depending on what you are dealing with).
If one moves one's child from one school to another because the school is more difficult academically than what the child can handle, then I would agree fully with such a move, as one should always try to place one's children in school where they fit academically and where they can grow.
However, social situations are something else. Our children should be taught to get along with all types of people no matter the school. I therefore do not think that taking her out of school for a social reason will solve any of her stressful problems or any of the social pressures.
The only time that I would recommend home-schooling is when there is absolutely no other alternative to any conventional type of schooling. Examples would include living in a community which does not provide the type of hashkafah and education necessary. One of my nieces, who is from a chareidi Yerushalayim background, married a young man from London with a similiar background. They went into the field of kiruv and are living in Capetown, South Africa. Since the schools there do not provide the type of education they need for their children, their only option is home-schooling.
You say that there are several possible schools that your daughter could attend. If that is so, then you should turn over heaven and earth to find a solution to her problem and create a situation where she will be more socially adept. In the long run, the social aspects of conventional schooling are what will be ingrained into her personality. (Oh YES they will!).