I did some XC skiing at Minnewaska and a run around the Overcliff/Undercliff loop on Saturday. There was not much snow on the Trapps (hence the run instead of ski). You’ll be a bit wet on some routes but I bet you’d have luck finding climbable conditions. Wish I didn’t have work, I’d love to join you!
edit: I didn’t actually get up close on any rock. Just observed from the Undercliff carriage road.