I was looking on Craigslist, look under Hudson Valley, and then Woodstock, or others...I saw many homes for rent...I grew up in Woodstock, loved it, can't go wrong with most of the Hudson Valley...you said no Kingston, but you can be in Hurley, or West Hurley, or Stone Ridge as you said, and get to Kingston for your shopping, don't miss Adam's for vegies! Miss that place for sure!
Good Luck!