The Xiegu G90 has a conventional squelch that works well, though I only use it for FM.
I monitor a lot of HF mil/gov as well, and the hiss and noise can be irritating. I like to back the gain off just a bit to tame the noise; if there's activity on the frequency, you can dial it in fairly well.
If it's mostly the high audio frequencies that bother you, a physical filter on the speaker may help. Foam, paper towel, cloth, etc., will give you attenuation of different levels and frequencies. For the Xiegu G90, a common mod is some velcro and a 1½" PVC elbow to direct the top-fire speaker audio. I have a sponge and a couple other things cut to fit so I can dampen the noise as conditions dictate.