Help needed with typical overpair situation...

[Supesimmo]

The last two tournaments I played in, I have been eliminated in very similar ways:

E.g.

I'm dealt 10 10, I raise 3xBB, and somebody else mini-raises me. At this point, I become suspicious he has Kings/Aces, but call regardless.

Then the flop typically comes something like 3 rags, and I bet a standard amount, which he calls. The turn is a rag too, so I push, even though I'm virtually sure he has a higher overpair.

He promptly calls and turns over Kings.

In these situations, should I just go with my initial read and only continue if I hit my set?

I think its more of a psychological thing tbh, I just can't seem to fold when the flop is 3 undercards.

Any advice?