I think that I have that trinket flagged as only melee… I can add its estimate for healers who are in melee (mistweaver and holy paladin with the option set, which it is by default I believe).
For the stones, use the upgrade finder search instead… unfortunately that per-socket list isn’t really set up to rank gems in the context of the other equipped gems. Without doing that you can’t give a value to several of the stones.