Before Baylor had to pause its season for three weeks due to COVID-19 back in early February, the Bears were right up there with Gonzaga as the best team in the country. I wouldn't put Baylor back in that super elite class where only Gonzaga resides. But I would the Bears at their own Tier 2 level, a class above Houston. 
I don't want to denigrate the Cougars. Baylor, however, checks all the boxes for me in this matchup. 
The Bears possess speed, size and shooting. They average 85.3 points. Houston hasn't broken the 67-point mark in each of its last three games and that's facing inferior competition compared to who Baylor has played. The Bears have won their four NCAA Tourney games by an average of 14.2 points, defeating superior foes than who Houston has beaten.  
The Cougars have had an easy path not playing a team ranked higher than a No. 10 seed. Their tourney victories were against Cleveland State, Rutgers, Syracuse and Oregon State. 
Baylor not only is high-scoring, but its defense has shutdown capabilities. The Bears could have the best backcourt trio in the nation with Jared Butler, MaCio Teague and Davion Mitchell, who could be the top defensive player in the country. 
Houston is a tremendous defensive club. No team is more accurate from 3-point range, though, than the Bears, who make 42.9 percent from beyond the arc. So this negates Houston's inside defensive strength.