E.P.
I agree with other posters that Lancaster, PA is nice and also affordable. The Hershey Farm in Lancaster is in the middle of everything, affordable, has a restaurant and some small animals on the property. Here's a website for a farm in the Catskills I'd like to visit. A little pricey, but it includes your own cottage and breakfast/Dinner. There would be no charge for your little one. Good luck.