I'd say pick a place that appeals to the adults but will allow both families time and space to maintain nap/bedtimes. When our kids were young, we loved renting cabins with friends. We'd have fun with the kids just running around in the woods all day, tire the kids out, put them to bed, and then hang outside by the fire until late at night. We all loved it. Your kids are young enough that they will be happy and entertained by just being with another kid and in new surroundings.
And don't rule out a beach trip. There will be fewer bugs, pleasant temps, prices will be cheaper in May, more availability, and even though it will be too chilly to swim, it can still be fun to be in a beach town or just to be near the water...beach walks, sunsets, kite flying, etc.
Lewes Delaware could be a fun destination.Cute, quiet little town. Take a ferry ride to Cape May could be fun for the kids.
See what's available on VRBO or consider renting some of the cabins at Cape Henlopen
http://www.destateparks.com/camping/cape-henlopen/cabins.asp
I'd also recommend considering the Eastern Shore. Great seafood, quaint towns, laid back feeling, and you can easily find playgrounds along the way to keep the kids happy (along with some good ice cream stops!).