No hot tub Lee, it will soften the skin and blister to much and will burst, allowing infection in which is the last thing you want. Dutchie is right it does not sound like frost bite, sounds more like a bad case of frost nip (still not good). Be very careful with your feet for the next week, I would suggest no running even in shoes, your feet will need the time off to heal, running creates friction and rubbing no matter how you slice it which will not allow your feet to heal properly. This will result in oversensitive skin in those areas, exactly like Rick mentioned earlier. Be smart and let them heal before you do any further damage.
I will stress the importance of your discoveries on this last venture, do not run barefoot with a mixture of cold and moisture, no matter how conditioned your feet are they cannot handle both conditions together, I found this out in my first year of trying winter barefooting. Secondly, as soon as you feel something is not right shut it down. Your body is your number one warning system, you have to listen to it, no exceptions. I do not experiment with new shoes on a run especially at night you are just asking for trouble. If something goes wrong you need to be confident that you can get your emergency footwear on pronto. I do not bring anything other than what I can slip on quickly, hence I do not bring my VFF's anymore for that exact reason. Remember Numb Toes are Dumb Toes.
I hope you heal quickly Lee, but please take it easy. Trust your instincts, 99.9% percent of the time they will be right.