The reality for someone like me, a very average looking guy, is then that I get zero messages. Doesn't really solve anything either.
I met my wife on a dating site 13 years ago (a small, cheap one focused specifically on Christians), and although I probably had a profile with a whole supposedly-witty story about myself, the thing I remember is the photo; I used a photo from a recent vacation to Africa, with me selfie-style in front of the gate of Timbuctoo. Her first message to me included some reference to Ouagadougou, and that got the ball rolling. (Her photo was her on a sailing boat; also effective.)
Don't use a photo where you look average, use a photo where you do something interesting. That says more about you than a chiseled jaw line.
Women aren't as looks-focused as a lot of frustrated men present them. Average is just fine, as long as your picture suggests somebody that they can engage with. "Below average" can also go a long way if you've chosen a picture that makes you look like what she wants, which might be "fun" or "family" or "kind". The men who think it's all about their looks are most likely the ones who only judge women by theirs. And while some women do that, the vast majority don't.