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So I blew up my cottered cranks on a track bike I just recently acquired while accelerating... didn't crash, thankfully. No damage to the frame. Managed to roll safely to a stop. Need to replace the cranks. I want to use something modern and stiff because I actually intend to do some track racing on an indoor velodrome with this bike. I'm poor af but I train hard, so I'm using a steel frame. The bottom bracket is french threaded, so both sides are right hand threaded, one has a lockring, and they're 25.4 TPI.
I've found a company that makes a 103mm square taper bb that fits any 68mm shell (english, french and swiss). It uses a design that threads into itself and just sort of stays there with friction and some locktite, I think. I don't have any experience with more modern bottom bracket standards. Is there some way I could find a similar design that uses the GXP standard so I can throw a SRAM Omnium on there? Or any other non-square taper design?