I don’t think there is anything you can do. There is no way to recover the wallet ID without an email or backup file, and only the password isn’t enough.
Also, their support (most likely) can’t help you as well (it’s still worth a try tho).When did you create the wallet? Since it’s very old, I don’t think you may have a chance of getting the wallet id from a past visit by checking your browser history, right?
Edit: ok, so there is a chance. Looks like they do wallet look ups from their support. I guess you already contacted them? If not, do it here:
https://support.blockchain.com/hc/en-us/requests/new?ticket_form_id=360000020183Yeah, man, I've contacted them via this exact form. They should be able to help me, because I have enough data about wallet to look it up. The problem is they don't respond to ticket for some time.
I've wrote to this forum because I've noticed that they help people who post here with same problem as me(google bitcointalk.org lost wallet id). Even owner of blockchain.info personally helped people here, and he also states that yeah, they can look up lost wallet id by alot of parameters, such as date of creation, IP, even password. But that was some time ago, now their accounts are inactive for some time.
I've sent them exact date and even time when it was created, I can give them 12 hour timeframe when it was created and I can even give them password if nothing else works. I just need them to assign someone to my ticket.