First to be honest alot of that interaction worry is more unwarranted worry often given as the reason not to, by those that don't like home school
The main thing is if there is not local groups, get with other home school parents for days out. also see about getting the child in a group music, or art or dance or karate class where they will still have some interaction
And/or the religious groups of your choice normally has children programs for children.
You will find untold number of home school kids after you start doing it.
also finding the right program for you, we use one that is set, we send papers in, they are graded by a teacher at thier main office and is religious based. They even have thier own school number to use on the SAT latter and for college admission, so it is more of a distance learning though thier school
Here is a link to the Home School Legal Defense group, here you can find links to home school groups in your state, also the current state laws on home school in your area.
Homeschool: HSLDA-Home School Legal Defense Association: