AQUX (Japan) and Mategear (Korea) used to make skimpy flat-front bikinis for men that wanted to minimize the bulge. I enjoyed the squeeze and smooth look. Now the new styles have moderate pouches.
Lexybblair (USA) still makes gaff thongs for a really flat-front look.
I can wear any of these brands at a public beach.

On a recent UK TV show ("GoggleBox") a clip of Jason Donovan in speedos and Kylie Minogue in a bikini on the beach in Australia was met by a comment "Oh my - you can see his bulge!!" And this from an older contributor who would have been around in the 70s. It's incredible how no-one ever says "Oh my - you can see she's got breasts". How did this statement of the obvious migrate from "not worthy of mention" to "enough to make people fall off the chairs"!?