Looking at the numbers
trailer is 11k lbs, pickup appears to be in the 8800lbs range for towing weight (i'm sure that's bumper vs 5th, but its a start)
on paper you'll be over the specs for the pickup even when empty
issues with being over spec will be stuff like possible overheating (engine/trans), possible issues with acceleration / braking, general stability of the tow.
the problem areas will be in the plains with wind and on grades (either up or down)
I towed a similar sized montana with a 2500 gmc that had in the 6.0 gaser (so similar power to the 5.7 hemi but more gearing). With wind it didn't like the interstates and it didn't have much engine braking to help in the mountains. With that, we did drag that montana all over the USA and it worked for us. It was a great day when we switched to the volvo HDT tho
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If one did go the 1/2 ton approach I'd recommend taking a route that considered the vehicle and its capabilities. Take your time and stay away from routes which are going to cause you trouble (avoid steep grades for example).