the fact most of the TF and CL works also in bars is a confirmation that going to bars, fo the little extra price of a BF and a few drinks you can have a CL and TF girl after checking her.... Or not having after you checked her.Often they try to pocket the equivalent of the BF and even of a few LD in their FL price. Especially in CL.
Non regulars in BKK, or high profile people not feeling to venture in the scene are the best CL (and agencies) customers.
They think they get professional escorts (and there are, of course, the high priced ones) whilst they often get girls from streets or bars or MP just broadening their chances and opportunities.
The OP seems to have an urge in an early hour of the morning (9-10am). A time when most of the girls are in a deep sleep. They might have gone to bed just a 2-3 hours before. I feel that if one will respond yes to such a call she will not be much willing or participating. She'll do it for the money.
Probably the best is to walk in sukhumvit 3 to 7 and he will find a morning shift in action. Not the best in town, probably, but I doubt he will get anything any better.