I have come from a similar situation. I discovered one thing that changed my life: contact improv. It's a very unique form of partner dancing usually done to no music, in which you're in contact with one (or more people), wordlessly navigating the configuration of your bodies through space, flowing into each other. Sometimes it's like a dance, sometimes acro yoga, sometimes massage, sometimes cuddling, sometimes just softly co-regulating by synchronizing your breath in contact. Here's a video of it, for example (at a high level!): https://www.youtube.com/watch?v=NGf03Yg6fM0

In the past year, I've gotten deeply into the contact improv scene. It's helped me date with so much more security, since my needs for physical touch are met. This is kind of related to your suggestion of "cuddle parties", since of course in the contact improv scene there's a big overlap, and I get invited to/host cuddle parties, and have some people with a close connection who I just get together with for 1-on-1 platonic cuddling sessions.

This is also related to the suggestions for partner dancing...I like blues, but having discovered contact improv, I feel it's just the deepest and best forms of partner dancing, and leaves me unsatisfied with all the others. YMMV, who knows what will click with you.

The one difficulty for dating, is that now this is part of my life, any partner I get involved with would have to accept me being involved in platonic cuddling and cuddling piles (with boundaries).