It's "bass" you don't want, whether you are portable or at home "base."
It's also not the fish.
You also don't want treble.
Cheaper, thus, can be better.
Old-fashioned, WWII "cans" are light, cheap and very non-hi-fi. Telex phones NOS are
about $15 on ebay.
The earbuds that came with my iphone sound terrible. Maybe they are good for coms use.
Other, simple, approaches are to clean up the audio in your rig or install a simple passive LC filter to limit low and high end audio response. A narrow IF bandwidth can also help.