In the 2010 season when UConn made it to the Fiesta Bowl, using the final regular season AP Poll to rank teams, UConn (25) would have been the 8th highest ranked conference champion behind the SEC (1), MWC (3), Pac12 (2), Big 10 (4), ACC (12), Big 12 (9), and WAC (10). And, they would not have gotten an at-large bid. The playoff would have been made up of teams ranked 1-12.
Last year is interesting because of 2 non P-5 schools would have gotten one of the 6 top conference bids, Cincinnati and Coastal Carolina. The top 12 teams would have made the playoff, but the Pac 12 was out of the playoff. They played a shortened season, so hard to say the data point is solid.
End of the day, it looks like the top 12 teams will make the playoff (sometimes the top 11 plus an outlier conference champ) and UConn has about the same chance of making the playoff as an Indy or in the AAC.