are there any providers that would allow me to record a session?

Most women will not allow taping a session because there are now pictures and/or video of her in out of her control.  Most men would not want their pictures being distributed everywhere, and it is something that every woman worries about.

OTOH though, if you have seen a woman enough times, and have a good relationship with her, and she can trust her, then she might be willing to allow it.

But as everything else is, it depends on the woman, her situation, etc.

my worry is ... could you imagine that video coming to light during divorce proceedings... Yikes!