1 Hour appt = $192/hour. (10,000/52)
2 hour appt = $96/hour
However, I offer a monthly "only you" plan for 24,000 with email exchanges, phone calls, dates, overnights, excursuons, etc. I'm his girlfriend.
The reason = I'd be busier with that than I've ever been lol.
I have learned, however, that whenever I've given deals that aren't on the menu, I.e. OTC dinner or chat, or even accepting above my rate, (besides the typical tip,) they have been the highest maintenance and most demanding of my time... (not in a mean way, but definitely time consuming clients).
So your idea is actually a good one to have on the 'secret' menu. But there have to be boundaries and discipline on both parts to keep those time and other boundaries in tact. If the provider so chooses to go outside of the agreed boundaries, it sends mixed signals to the client, which isn't fair.