Hello sir,
I had that offer just once from an escort who I had seen a number of times gotten to know fairly well by then. In my case it would have been "full service" but one of the reasons I did not take that offer was it's a 24-hour a day contact situation not just a few hours. I probably overreacted as we always got along well during much shorter times up to 6 or 7 hours together, but taking someone on a trip when you have no idea how either party is going to react to each other for so long is very risky, aside from the odds there's a lady who will do this for free (especially if you want any sex) and spend all her time with someone she is likely to have a hard time relating to will be practically impossible. In that case a free trip may not seem free to her at all. If you do mean companionship only you might have a shot if you had already made a real connection, but it seems like pure fantasy since you are talking about someone you have not even gotten to know at all.
Maybe if you offer someone a lot of free time to herself, pay for some shopping, take her out to some great place she might otherwise not be able to enjoy. But companionship will probably be as far as it gets in any case IF you find someone....and it will still cost you something more than a free trip.
Good luck,
Merlot