Welcome. It's tough on a tight budget. I use to scrounge to buy reloading components when I first started off. 50 Rounds a month was a lot of ammo for me then.
I'm assuming pistol competition.
GSSF (if you're shooting Glocks) does list ALL their matches, both outdoor and indoor.
Besides IDPA, look at USPSA.Org
https://uspsa.orgAnd if you're into revolvers look up ICORE
The NRA web site isn't much help and can be very frustrating. Mostly you'll find a list of affiliated clubs. Some don't even list their web sites, just an email (and sometimes just a mailing address) it's not that the clubs don't have a web site, it's just the NRA is a little slow in adapting.
The whole paradigm has shifted. It use to be "The Club" was the thing and it sponsored all the matches. Now most matches are sponsored by independent shooting organizations that use (or rent) the club's range. I shoot at fancy ranges all the time and am not a member. But I am a member/associate of the shooting group (IDPA, USPSA, GSSF, etc).
What you need to do is a web search on local ranges and clubs. From their web sites you can find out the shooting competitions they are holding. Don't be put off by the club's membership requirements. Most of them don't require you to join their club to shoot in a sanctioned match. Some of the competition organizations do however. You must join GSSF to shoot. And IDPA allows only one match as a guest (but you could visit several different ranges and probably get away with several.)
And while it's not the same adrenalin, you can shoot some of the course of fires on your own. GSSF Indoor League and NRA Practical (on half size targets) are easily doable by yourself.