This is quite common, and doesn’t involve trying to get someone to do something dodgy. Search for dayuse hotels, there are a couple of websites that can give you what you are looking for. Basically you get a hotel room for a bit of the day, usually up to about 6 hours, and you can use all the hotel facilities, at a discount. Sometimes 60% cheaper, it depends on what’s available that day.
I do this sometimes to get a quick sleep and freshen up in the middle of a long day, but they are also useful as photography locations when working with models etc. As long as you are discreet no one bats an eye.