Any way to momentarily suspend RF transmission or detect modem sleep?

[rkit2134]

My project needs to activate 350mA load for about 10ms, and it is running from 500mA power supply.
If esp32 decides to transmit some data at the same time the load is activated, power is surely going to brownout. The easy solution would be to add a bulk capacitor, but I am exploring alternatives.
I see two possible solutions: either block MCU from using the transmitter for the duration I need, or detect modem-sleep interval and activate my load in that time. I went through esp-idf docs, but couldn't find ways to do either.
Is there any way? Or maybe other suggestions?