How long were you planning on going? I'm sure 5 days or so would be nice, but 10 days would be a lot of alone time, which may be too much. I agree, bring a book to help with meals (or for by the pool). It seems like you might be a social person, so there are a TON of oppertunities to strike up a conversatins with others.
I have never been alone, but am thinking of a trip either alone or with one other adult (my dh or my mom), but I think I would feel guilty leaving the kids home and would not have as much fun.....then again there will be plenty of time for WDW when they are older!