OK - sounds like I got the wrong end of the stick and you have a water-based system.
The function of the thermostat in each of the 'zones' of the UFH is to sense the temperature in the room then send an electrical signal to the valve that controls the water flow through the appropriate zone. (There's a bit more to it in terms of functional logic circuitry but that is the gist).
The UFH gubbins are generally located in one single place (Where the pipes split out and return back are located) and if it is making a noise from there is sounds like at least one malfunctioning actuator valve.
A UFH technician will be well-used to dealing with this sort of defect so that is where I would go. The problem is that there are many manufacturers of UFH systems - a bit like there are many manufacturers of CH boilers. But because of all the extra gubbins associated with UFH, each supplier uses 'building blocks' (such as thermostats, actuator valves) that they do not manufacture themselves but they buy one from a components' manufacturer. For example, many thermostats are made by Danfoss, but they are just a component manaufacturer - they don't do UFH (as far as I know).
If you know who the manufacturer of your system is, I would ring a couple of UFH technicians from Yellow Pages and ask them whether they specialise in your system. I maintain my own UFH, I'm afraid - though it doesn't give me much trouble.