Letchworth is a very scenic place and most of the trails are intermediate to beginner friendly but you would be walking up most hills and stream crossings. The trails could be closed due to wet conditions. Better check first.
Here are some pix of the trails:
http://www.climbonline.org/cgi-bin/yabb2/YaBB.pl?num=1152050021
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You didn't mention if you want to camp or not.
These places are about a 5 hour drive from NYC and offer a variety of trails that are not too difficult with accommodations on site:
http://www.kingdomtrails.org/
http://www.millstonehill.com/touring/
http://www.bikebackcountry.com/
http://www.post-gazette.com/pg/09151/974001-140.stm
http://raystown.org/outdoor-fun/allegrippis-trails.html
Here are some pix of the trails:
http://www.climbonline.org/cgi-bin/yabb2/YaBB.pl?num=1152050021
-----------------------------------------
You didn't mention if you want to camp or not.
These places are about a 5 hour drive from NYC and offer a variety of trails that are not too difficult with accommodations on site:
http://www.kingdomtrails.org/
http://www.millstonehill.com/touring/
http://www.bikebackcountry.com/
http://www.post-gazette.com/pg/09151/974001-140.stm
http://raystown.org/outdoor-fun/allegrippis-trails.html