I'm not American and nobody I know in a committed relationship, not a single one (even the Americans I know), met their partner through dating (where I'm defining "dating" as meeting with strangers or near-strangers with the intent of evaluating a possible romantic connection).
For the most part, my own relationship and the relationships around me started as friendships. People encounter others organically, through some hobby, club, group, event with a mutual friend or something like that. They talk a bit, they (platonically) like each other, they (platonically) hang out just because they enjoy each other's company.
Only after properly getting to know each other (think years, not weeks or months) is romance considered.
So I'd suggest that instead of going broad but incredibly shallow with over a hundred meetings with strangers, try going narrow but deep. Try to make a few male friends that you know and feel comfortable with and see if you find yourself wanting more from any of them.
Even if you don't find romance from any of them, you end up with more friends. They likely have friends of their own that you can also befriend and the cycle continues.