Currenthill, I'm having a little difficulty visualizing your process. Can you post any photos?
I'm particularly struggling with the alloy plate. What is it's intended function? It seems from your description that it is intending to provide a physical mechanism for damping out signal noise? If so, it seems likely to be a contributing factor to the slow response. Which controller are you using and what are the P, I & D settings?
Edit: What is the damping (input filter) time?
Costs aside, I'd expect to spend between 2 and 4 hours mounting the 2 extra controllers, wiring them up and generally faffing about, possibly much more. I think you'd probably be better served spending that amount of time reading about tuning PID controllers manually online and then manually tuning the controller you have. I don't envy you. Take notes. Drink strong coffee. Expect to become frustrated at some point.
FWIW, my guess is that you have a small Proportional band and/or a large Integral. Possibly also a long damping (input filter) time.
Stacy, most of the low-end controllers "just" have an autotune. Once the autotune is run and the calculated P, I & D terms are accepted, they don't change. It's only usually the higher-end controllers with "fuzzy logic" or "adaptive" tuning that continuously monitor the control response and make adjustments to the terms whilst running.
Having 3 controllers and selecting the output from only one to drive the SSR does not seem likely to cause an issue, but it may not help much with the control issue Currenthill is having.
When the middle temperature controller is selected, the low temperature controller will see the actual temperature above its setpoint and will try to reduce it by reducing its cycle "on" time. After a period of time, it will have reduced the "on" time to zero and will stay there until it sees the process temperature move towards (or through) the setpoint fast enough or far enough to respond.
The high temperature controller meanwhile, will see the actual temperature below the setpoint and will try to increase it by increasing the cycle "on" time. After a period of time, it will be 100% "on" and will stay there until it sees the process temperature move towards (or through) the setpoint fast enough or far enough to respond.
Switching from a stable middle controller output to one of the others will give an immediate large response, but is likely to result in severe overshoot unless the tuning parameters are correct for the process. This brings us back to the original problem, which seems to be that the PID terms are probably not correct for the process.
Once another controller output is selected, the middle controller will see the temperature either above or below its setpoint and its output will go to either zero or 100%.