I am sorry I don't have a definitive or comprehensive answer for you, just some thoughts from the point of view of a generalist...
What progress have you made in regards other constraints on your design: data rate, range, whether the signal has to pass through walls and obstructions, frequency and power limits (for regulatory and safety reasons [e.g. in regard to explosive and other hazadous environments]) etc?
Consideration of such constraints will presumably allow you to choose the best carrier frequency range for your system [or even to consider the suitability of using an ultra-wideband wireless system].
It is not hard to stop alpha and beta rays from hitting sensitive circuitary, therefore you presumably need wireless modules that have been non-destructively tested in operation, by being bathed in X-rays and gamma-rays of at least the same average intensity and duration as will be experienced in its operational service lifetime.
If there are no radiation tolerant comms modules currently being marketed, you could start with a dual redundant modular wireless system of some sort, seal it inside a box designed stop all alpha and beta radiation, and corrosive contamination, and then get it non-destructively/destructively tested for yourself at a third party X-ray/Gamma-ray test facility. Obviously designing the boxed comms module so that it can be easily swapped out if it fails in service.
If used in areas with potentially explosive atmospheres, where sources of ignition need to be controlled, then you need specialist advice on products that will be suitable...see for example...
"Hazardous Area Classification and Control of Ignition Sources"
If using a remote robot, and both dual redundant wireless control links fail in service, then presumably you would want to automatically default the robot to retrace its path until either a wireless link is re-established or it makes it back fully to its original starting point.
Indeed there may be whole host of wider systems engineering elements to consider for your particular application...