While rejection is frustrating, I don't think that trading places would work as well as you think. I mean, in dating apps some women are "hidden" from view in the sense that they don't fit the algorythm criteria and are shown to very few men. Also, fi they are deemed physically unatractive, men swipe left. I'm not saying that they should swipe right, what I'm saying is that not all women have it easy to find someone.
If the aim is to feel attractive, some times it pays to go out with supportive friends and do things that you enjoy. Share with people in the same position all the awkwardness, rejection and bad taste and laugh it off. I find that it is something that works better than an extranger interrupting your day or being dependant on how others treat you.
The "feeling attractive" is quite superficial and doesn't really work to avoid depresion. You change "why no one* finds me attractive?" (when "no one" it usualy meand no one that you also find attractive) for "Why they only value for my looks?". Not good either.
Spend time with friends, share with them. Laugh about how absurd it is the dating world most of the time. And be kind to yourself.