I enjoy playing chess, I like hobbies where there is the opportunity for steady improvement, I like going over my games, and I like doing puzzles/studies.

However, I hate playing with a rating. I'm always stressed out about losing a few points, gaining a few points, crossing this barrier or that barrier, etc.

Similarly I hate playing anonymously on chess.com or lichess. The average rating is apparently much, much, MUCH higher than I am and I get crushed game after game.

Is there anyway to play chess online, matched against similar opponents, but without an obvious rating? (I know both lichess and chess.com have "zen" modes that hide everything, but you still see your dang rating before the game, after the game, when you open the site, etc.)