I've lived in small towns all my adult life (I'm 34), and I actually think it would be harder to socialise in the city. In small towns you see the same people everywhere you go: church, shops, Christmas street fair, local show, aport, playgroups etc etc, and you have lots of opportunities to talk to them.
OP, I can't imagine anyone not wanting their kids to socilaise with yours at age 2, because you planned to home school her. I was a teacher until I had kids, and I can see how much benefit homeschooling would be for some kids, much more so than being in my class. There's stacks of things for mothers and two-year olds to do together in my small town, most of which don't revolve around schooling at all.