Bowe was wide open for Frazier's body assault, and Frazier was quick enough to duck under Bowes punches and fire right back. Unless Bowe manages to stop Frazier by the 6th, he's going to be in for a very rough night. Challenging Frazier to an inside fight wouldn't be the best strategy, Bowe should use his jab and uppercuts but that wouldn't be easy to do because Frazier could slip past the jabs of boxers much faster than Bowe.
Bowe is gonna maul him on the inside. Yes, Bowe got pas Ali's jab in some instances, but when that happened, Ali didn't know what to do except to grab him and clinch. Bowe would trade with him, and Frazier won't come out the winner of that exchange.
If you are fighting a guy with short arms up close in the inside, the shorter armed guy is going to be landing more often than you. Bowe is very good on the inside and has powerful punches but his long arms would put him at a disadvantage. He also has very leaky defense and slower hands. It would be better for Bowe to keep Frazier off of him. I'm not saying Bowe can't win, but on the inside Frazier has the advantage.
Bowe's equalizer inside is his uppercut, his most powerful shot. He could conceivably knock Joe senseless with that punch. That said, Joe is deservedly reknown for his inside work, and uppercuts seemed to get him more outside ala Foreman. Bottom line, I don't see Bowe getting the better inside, though he was a game and often effective fighter there.