We use a Coleman RoadTrip grill but leave it off to the side of the awning. Have had this grill for 8 years now and I still love it. Works better than my monster home BBQ. I have a new Coleman Gladiator stove (XMas gift) that fits the arms from the Jayco BBQ mount almost perfectly (still have to cut two small slots in the bottom panel for a perfect fit) so that's what goes in that spot for outdoor cooking.
Problem with Coleman products is that they are all high pressure LPG (regulator is at the unit) so they don't work with the gas quick connect on the TT. Your choice becomes modification to the gas fittings on the Coleman (a couple of threads on that here already), or T a high pressure hose off the tanks before the regulator (that's how we do it).
2011 Jayco X19H (purchased 2015)
2008 Jayco 1007 PUP (purchased new, traded for the X19)
2012 Chev Traverse LT with TP