If you will permit, I can clear my schedule and help out. I've got a 1990 Schwinn Air-Dyne in my living room that I can use to meet this challenge. Let me know if the group will accept me doing it here in Oxford, MS. I can get my wife to verify the date/time requirement if you need witnesses. I can synchronize my watch to Austin time, because I've watched all the James Bond movies and learned how. PM me and send the info if the sponsors agree.
Ps. I have a kilt and have nowhere to go "quickly on a stationary bike".