I want to add that Tulsa was only 2-4 ATS as road chalk last year. Tulane actually started the season out 3-0 ATS last season before injuries started doing them in.
They've done pretty well under the dome against Tulsa (granted, with an extremely small sample size). If a new quarterback has to make his first start on the road, I'm not sure the setting could be any better than against Tulane. Nice conditions in the dome and a passive crowd.