Hi Stuart.
There are VERY strong warnings about keeping your RSP antenna a good distance from ANY transmitting device, as there is minimal filtering or overload protection in the front end of your receiver. The only way to do what you are suggesting is to have an Interupt Relay in your coax line that will disconnect the antenna while transmitting! For the best protection, I suggest grounding the input to the RSP while transmitting, if at all possible.
73 WD6AHX Wayne