The only problem is that your camper LP system is a regulated low pressure system and your Coleman grill uses the high pressure cylinders. A friend of ours actually put a T in the lines just before the regulator and ran a line for his grill that way, it has worked good for the 4-5 years since he did it.
We have the RVQII, it is a low pressure grill and will run off the TT's system.
Or you can probably buy parts to convert your Coleman to run on the low pressure system on your camper
TT-2013 Passport 3220BH
TV-2004 F150 FX4, not exactly stock...
with 2001 Kodiak K215: 2010-10, 2011-12
with 2012 Grey Wolf 26BH: 2012-19, 2013-24, 2014-11, 2015-6
with 2013 Passport: 2015-13, 2016-15 booked