Over 70 years ago, the RMS Queen Mary (GBTT) ran full HF Duplex on AM with rx and tx frequencies in the same HF marine band - those at 2, 4, 8, 12, 16 and 22 MHz. (The 6 MHz marine was too narrow to accommodate R/T) The separation between receiver room and transmitter room was around 400 feet: they had around 400 watts of carrier, suppressor grid modulated. So it can be done.....The receiver room was fully screened and leads to it filtered. Marine receivers for HF had to withstand 30 volts EMF of carrier on any frequency for 15 minutes without damage: Marconi Marine used a germanium diode voltage doubler rectifier and a 2 transistor Schmitt trigger to drive a reed relay.
So the problem is by no means insurmountable.