... but Rome isn’t the best for punting
My recent experience was exactly the same.
Tried escort club and eurogirls.
The few profiles I found on Escort club all asked for voucher and online payment. Communication was via WhatsApp. They sent me pictures, videos, and sometimes confusing text messages about where they were. For some I got the impression profiles are up in various countries, using the same phone numbers. Phone numbers were Ukranian, British, Frensh. Some Italian.
You wouldn't get to see the girl before paying and the online payment came at high fees (15%). Thus, didn't go for it.
Eurogirls showed profiles for 250+ Euros per hour. I saved my money. No adventure in Rome.