Speedo in America make the 1" Speedo Solar swim bikini, the Speedo Swim Thong and it's colour range has included whites that go transparent.
The 1" Speedo Solar has a front seam, it is therefore a pouched suit, the rear appears to be 3/4 coverage. This makes it qualify as "the skimpy little thing that body builders pose in and gay guys prance around in trying to look cute."
Speedo Solar Review:
http://www.the-bottom-drawer.com/speedos-solar-1-brief/
The Speedo Swim Thong has a front seam and is of course pouched, it is "the skimpy little thing that body builders pose in and gay guys prance around in trying to look cute." and Speedo made it.
Speedo Swim Thong Review:
http://www.the-bottom-drawer.com/speedo-thong-tribute/
For white Speedos just look at these :
https://www.amazon.co.uk/Speedo-Brie...+speedo+briefs
https://www.amazon.co.uk/Speedo-Mens...+speedo+briefs
https://www.amazon.co.uk/Speedo-Swim...+speedo+briefs
One buyer said "The only problem I first noticed was how obvious "the bulge" was. Part of the trick is to not pull them right up, just have them on to where the widest part of your hips are and then it doesn't look like you are smuggling something into the pool."
Then there is always Japanese Speedo which represents everything you dislike:
http://en.kyouei-mizugi.com/product.php?pid=380
Limiting yourself to the Speedo brand seems extreme as there are many other men's swimwear brands making perfectly good briefs of 2" European, 3" American and even 5" cuts.
Wearing 1" swim bikini or a swim thong on a quiet sunny beach is not a "gay" thing, just a desire to feel free and have minimal tan lines.