Forget all the above and revisit your circuit design and all of these problems will go away if you just make a simple narrowband (classic) diode TR switch. If you place a (lumped) quarter wave section between the Tx diode and the Rx diode the Rx diode can be a shunt ON diode to act as a simple crowbar in Tx mode. The Tx signal sees a 90degrees phase shift through the quarter wave section before it reaches the Rx crowbar diode, then a 180degree phase shift occurs in the reflection from the shorting crowbar followed by another 90degrees on the way back (=360 degrees total) so the receive path looks like an open circuit to the Tx path in Tx mode. So you get high isolation from Tx to Rx in Tx mode. In Rx mode just reverse bias the Tx diode and the Rx diode and the antenna signal will then be routed to the receiver input stage. Both diodes need to be ON in Tx mode and both need to be OFF in Rx mode.
This narrowband TR switch topology has been around for decades, it gets used in CB radios and ham radios and it means you don't need to have a high reverse bias for the Rx diode. Some CB radios just use a pair of limiter/clamp diodes for the Rx crowbar and that saves having any bias in the receive diode(s) but that is to save cost and circuit complexity.
See below for a barebones version of this type of switch. This is a simplified version to help show the basic building blocks and it only has a simple common bias control. It's up to you how you want to add complexity to improve the biasing as you might want to have extra reverse bias voltage in the diodes in Rx mode. You don't have to use a transmission line for the quarter wave section, you could just use a lumped LPF equivalent made from an LC Pi section(s).