I thought I had done some crazy stuff on a bike! Including riding on New Year's Eve after work on a state highway (55mph speed limit), riding around Houston with no helmet or light, as a young and dumb college student, and with helmet and other good gear in an area of Phoenix that the Phx PD officer doing a safety talk thought was rather sketchy (not as much because of traffic but maybe because of gunshot potential? I did see people get arrested on the street pretty frequently on that commute).
Only time on an interstate was near Santa Fe, as part of the Santa Fe Century. It was kind of a trip to ride on the interstate, but as part of a planned ride with signage, I wasn't super nervous. Still, someone got killed today during the bike portion of Boulder Ironman, and I am certain that was both signed and had volunteer or police flaggers along the course. In my experience, Colorado folk know at least to try to look for bicycles, Texans not so much esp anywhere other than Austin.
Good luck. I'm not really sure I'd do that.