My favorite phrases/words related to physical contact : fitting together (a very specific type of hug that requires the huggers to be of complementary build/height so that they fit like puzzle pieces, i.e get to actively hug equally), cradling (where emphasis is on emotion expressed through hands, i.e holding very lightly, gently), hair-touching, warmth-seeking (or just burrowing). /Approaching character limit, will follow up with a second msg./
Those are good ones! I know just what you mean about fitting together; those are the best hugs. Burrowing is also quite evocative. Personally, when I think of cradling, I imagine one person holding another, but I can see how it would apply here, too.
Looking forward to that second message!