When you select a PID controller, you will want to make sure that the relay contacts are current rated for the element you want to use.
Many are not rated for 15 Amps.
What I like to use is a PID controller that is compatible with and an external SSR. Solid State Relays can be bought fairly cheap, their durable, and easy to hook up.
Many PID controllers can use either a RTD sensor or a thermocouple sensor. Some will only use one or the other.
Most of the controller I have used were in meat smokers I built but I have one that I use with my RIMS.
Johnson Controls builds a decent digital temperature controller that comes with a sensor, operates on 240 or 120 VAC and has relay contract rated at 10 Amps.