Here is the list of winning HOF game teams with their regular season starting QBs and final records:
2002 = Giants [Kerri Collins, 10-6]
2003 = Chiefs [Trent Green, 13-3]
2004 = Redskins [Patrick Ramsey, 6-10]
2005 = Bears [Kyle Orton, 11-5]
2006 = Raiders [Andrew Walter, 2-14]
2007 = Steelers [Ben Roethlisberger, 10-6]
2008 = Redskins [Jason Campbell, 8-8]
2009 = Titans [Vince Young, 8-8]
2010 = Cowboys [Jon Kitna, 6-10]
2012 = Saints [Drew Brees, 7-9]
2013 = Cowboys [Tony Romo, 8-8]
2014 = Giants [Eli Manning, 6-10]
2015 = Vikings [Tedy Bridgewater, 11-5]
2017 = Cowboys [Dak Prescott, 9-7]
2018 = Ravens [Joe Flacco, 10-6]
2019 = Broncos [Joe Flacco, 7-9]
2021 = Steelers [Ben Roethlisberger, 9-7-1]
2022 = Raiders [Derek Carr, 6-11]
I think the Browns will be okay.