Hi,
I think taking stab sometimes with the best hand (and also TT/JJ might easily c/f) should be fine.
I would prefer raising turn and playing for stacks, since I think JT is often MP range and he can get all-in with just Qx hands, so I would try to stack him. Also if SB called with Qx, Kx then I don´t want Q, K coming to the river and facing situation where I have to fold my hand.
Raise/folding river is fine, since they should not shove with worse hands, most of the times I would just called MP reasonable bet (for example 12$), but since he bet so small I think raise for value is fine
best regards,