Only two have taken Price the distance and one of those was Danny Peret who is as tough as old boots and the other was when Price was only a few fights in if I recall.
Chisora had the power to stop him twice and Rogan could have if he wasn't so naive. Neither of them carry much in the way of power in the heavyweight division so if they can hurt him, Price could demolish him if he catches him clean.
In fairness though, Sexton wasn't stopped (or nearly stopped in the case of Rogan) because he got hurt by a single punch. He basically hit a wall, likely partly due to conditioning, and the punches accumulated. I don't think Sexton's ever displayed a dodgy chin.
I'll be honest, I haven't seen that much of Price, but if he can work hard as well as hit hard, he should be able to do the same, probably quicker.