That’s what a noise-gate does: only volume above a threshold gets through unattenuated.
Now the bad news: gating can sound weird, it’s jarring/stilted, and the crickets will still be present when you speak.
My tip would be filter out everything below 200Hz with the equalizer, (or high-pass filter).
that reduces the reverb (echo) and makes male & female voices more equal in volume.
The LevelSpeech2 plugin makes voices even more equal …