most hotels are still going to be asking for id even after the 12th. so if you're that shy or just unable to comply, then maybe hotel punting's not for you.
i say this as someone involved with hotels. trust me, when i give this advice..... walk in confidentally, with a mask & photo id in hand, don't labour the issue & you'll get a room, as most hotels that are still open are glad of the business right now. the more you argue you dont have id or aren't wearing a mask the less chance you'll get a room. surely the mask makes you more anonymous in any case? and a hotel isn't going to call your actual mrs the second you're in a room with a girl, they'll turn a blind eye and assume the lady with you is her in any case..... they will.... lol. the alternative is to go in before u pick up the girl, book the room but make sure they know you're booking for two people, so that when you return with a girl, or she turns up & asks for your room, noone will give a damn, they've had your double room money already.