Hi Dan and welcome. Lots of great stuff up North, but if you want to venture south of the border, not far from Keene, you can have some fun. Crow Hill in Leominster is a good spot. Farley Ledges, Mormon Hollow and Rose Ledge are all close to Erving MA. and you can look them up on Western Mass. Climbers Coalition.
For a new climber it's hard to beat Chapel Ledge in Ashfield MA. Maybe we'll see you out there one day.
Have fun and climb safe.