Is turn barell standard to fold out draws and pair? Then I have a really hard time putting him on a hand once he check-shove, usually I give the check shove less respect then the mincr. So do you call here as played? What range do you put him on? Would 42o really call there? 2pair? Slowplayed Qx?
i think this is one of the best hands for checking back turn in our range. we have his straightdraws crushed and can comfortably bluffcatch a lot of rivers. i see people folding a lot against this turnbet (3x, 5x and all gutshots), so we valuetown ourselves pretty hard vs his Qx and Ax.
we also have nice implied odds, because he'll usually expect us to bet straight / flushdraws. we can stack him pretty often, if we hit a non-5 river imo.