If there was a way to kill this annual question, I would happily serve the jailtime for the murder. If you could run 100 sims of Bama v Browns, its possible that Bama pulls off like, three wins, at most, because weird stuff happens in sports sometimes.
If it helps at all, there used to be a thing where the college all-stars played the recently-crowned pro champs in a charity game. From 1934 to 1976, the college all-stars (note: not your favorite college, but the best that the NCAA had to offer thrown onto one team) won 11 times. However, they only won three times after 1950, which was around when leather helmets went out of fashion. In the early days of football, most players didn't go pro, and it was plausible to say that a great college team was comparable to a pro squad. Once football started taking on something like its modern form, with all the best players taking their shot, the NCAA all-stars regularly got blown out. And this was still in an era where pro players were mostly on the larger end of what we would call "normal sized" people. Now you can't get into the league if you aren't some genetic monster. Bama would get plastered.
More info on the pro vs college game: