there is no rank

Amen to that like seriously ranking and reputations change vet time just because the house you get might be in the prom when you join doesn't mean that you and you're sisters can't totally turn things around in the years you're in it and make it's ranking go up!

If you put a rank system in your head then you're not going to have the best time during recruitment.

So if I only have ADPI on bid day I should give them a chance?

If you want until the next year you are lowering your chances of even getting a bid, if you're a freshmen great! Even sophomores have a pretty good chance however it's more competitive. They want more freshmen. If you can't financialy do it the first year they will take that into account.
That being said its also never to late to go Greek. If you are yourself then they will like you for your honesty.

If you got a bid from a house and decided not to join yet you still can. Actually, when you receive a bid you are bound to that sorority for 1 year and there's no getting out of it. So, you should reconsider and go ahead and a least give to a try, I would. What do you have to lose, meeting great girls and having fun? AND for that one year you cannot snap bid or do anything like spring recruitment with any other sorority if there's an opening elsewhere. All you can do is wait until formal recruitment next year after the 1 year time is up and try again. Chances are formal recruitment isn't going to be any better the 2nd time around. Go have fun!!! Being Greek is way more fun than not being Greek, you'll meet the most amazing girls in any house.

Also, some girls will act snobby to "bottom tier" sororities because of preconceived notions. They end up getting cut from bottom houses because they were rude and got low personality scores. It's not that the bottom houses get leftovers. It's that the bottom houses cut the girls the top houses took. That's also how they get some of the friendliest girls on campus. They may not be from "top" zip codes, but there are plenty of sweet, attractive, well-rounded girls in those groups. Just because you don't get a top-tier sorority doesn't mean you will be shunned. I was in a "bottom-tier" and I hung out with people in all groups. It is what you make of it.

Don't let financial obligations get it the way. I know it's scary but they are willing to work with you. We aren't as fortunate so we have to pay on our own. The don't want money to be a reason why you won't join.

Like the other poster said just because you get a bid from a "bottom tier" house it doesn't mean you aren't an amazing person you will find your people and reps really don't matter in the long run an you and your new sisters can help turn that bottom ranking around while you're in it you never know you guys could be middle or even top teir once you're a senior but honestly it's about the RELATIONSHIPS you have with the girls in that house not their perceived reputation
Sororities aren't just for 4 years they're for life so find the house that fits you best and screw what anyone else has to say about it it's your life and your happiness!