Thermostat or No Thermostat?

A higher pressure cap will only raise the temp that the thing boils over, and won't help the temps at all.

The 13 psi cap lets the coolant boil at a lower temp and then once the coolant boils the cap releases the pressure and the temp skyrockets. The 16psi cap will raise that point. That's why Nascar uses about 20psi caps.