Any sports that is competitive requires testing to ensure that no one cheats or has an unfair advantage. If you are against testing in sports, then sports is not what you are looking for.

An Open participant category would solve almost every problem. Only the best of the best will win.

Traditionally, "Women" ( biological XX-chromosome Homo-sapiens ) had their own category due to their inherent physical weakness compared to "Men" ( biological XY-chromosome Homo-sapiens ) in almost every physical category. This allowed "Women" to compete on their own "safe" "fair" "even" "fair" playing field separate from "Men".

If you want a sports category "Trans-Woman" or "Trans-Man" or "Trans-any / Non-Binary" PLEASE GO FOR IT ! I am not saying anyone should be excluded from sports. But there are reasons that categories exist in sporting events. Be constructive or don't it is your choice.