I was always interested to play blindfold chess not with a friend but versus a real opponent but I have heard only about such tournaments for elite players (like "Melody Amber"). Are there any blindfold chess tournaments, where players with Elo around 2000 points (standard) are allowed to participate?
Lichess and Internet Chess Club provide an online functionality to play blindfold chess and you can try to make a suggestion on their forums to organize a blindfold tournament.
This will probably be unofficial though and I do not now if that fills your expectations.
As @JossieCalderon said in his comment, you don't lose anything to make a suggestion in your local chess club about organizing a blindfold tournament.
You can even start by making an attempt through social media and see if enough people who want to participate appear.
Good luck :)
PS: Lichess blindfold team
I don't see why they wouldn't allow you to participate in something just because you aren't an elite.
If this is what you're looking for, maybe the membership information can help you? I skimmed through it a little and it looks like you contact this Hadley school to place you in a blindfold chess correspondence (and real-time) club.
Maybe they host tournaments there!!
Never heard of such a tournament. It would be a nightmare for arbiters to figure out when problems arise. It would require someone keeping track of the moves and maybe a board in a separat room. And there is not a lot of demand by players to play blindfold in tournaments.
NOTE that if you record the moves on paper then that is not really blindfold chess anymore as you can play over them in your head should you forget the position.
My casual games always had someone with us to check for illegal moves and more importantly ambiguous moves which were an instant loss. note: we used descriptive notation back then and ambiguous moves were common even with OTB players and their score sheets.
An occasional game was plenty for most of us as we would not want to do a tournament that way.
Blind Chess Olympiad is the most important event for blind chess. there are several youtube videos where you can sneak out a bit.