There's an Omaha Chapter thread down the Forums Page. A shout-out there might bring someone up.
During the current Threatening Change in your Natural environment, causing Threatening Change effects in your Economic environment, 'getting around other people' is contraindicated. But there may be possibilities. I Googled 'open mics in omaha' and got this.

https://www.google.com/search?q=ope...852j0j7&sourceid=chrome&ie=UTF-8

Back before the world changed, threateningly so, I used to recommend going to music stores where there was often a bulletin board, and some folks hanging out you could meet.
Nashville Songwriters Association International (NSAI) may have a 'Chapter' in Omaha. They're probably meeting online during the Pandemic. When they were live I 'audited' a couple sessions in Portsmouth, Ohio. Good gathering of a variety of musical styles, musicians and lyricists. It was about $150 to join.