Try Quechee
This would be a great place for you and your family. It's a private community with a great clubhouse--full gym, indoor and outdoor pools 2 great golf courses, 12 tennis courts, restaurants and miles and miles of great hiking. There is also a Lake with a manmade beach for swimming, fishing and canoeing. I have 2 girls, 9 and seven and they love it. The town is 4 miles from Woodstock, a quintessential VT town.
I would recommend a website vrbo.com for renting a condo(In the interest of full disclosure-- I have a condo listed there). renters have full access to amenities for a small fee.
We loved visiting so much in the winter we bought a place and fell in love with the summer even more than the winters.