Yea this looks like Jx, Qx, FD+OESD or FD+GSSD or something along those lines. He probably folds Jx to a shove, and obviously is calling with all Qx hands and his combo draws.

I like how you've played the hand so far, now shove the turn and bink one of your 14 outs or be good vs worse FD without improving. You should have plenty of fold equity given we think he's folding Jx and maybe a couple draws + our pot equity = +EVs