Regarding the Comic Strip's lottery...
I don't believe it's a lottery for open mic spots, but an opportunity to audition for the club. As I understand it, you show up, get a number, and then everyone there gets the chance to audition on some night in the next several months. It doesn't cost anything except your time, so I can't imagine that it would be problematic. I know people who've done it before, and I'm pretty sure some people who've done it have gotten passed at the club through so doing.
So if you think you're ready to be passed at a club and have an audition set that you think can make that happen, go for it.
Unless there are negative factors at play that I'm unaware of. But it seems pretty straightforward.