I have had my 27rr for 3 1/2 months now and absolutely love it. I have pulled it to Yellowstone, Washington DC, St Louis, and Upstate New York. with absolutely no problems. I am pulling with a 1500 Silverado LTZ with a 6.2L with an equalizer hitch. The horsepower and torque of this truck is plenty. Even going up some VERY LONG STEEP grades in Wyoming and Montana, I had absolutely no problems. EVEN when it was 100 degrees. I have installed airbags because of the soft suspension on the 1500 and have installed an aftermarket transmission cooler even though the truck had an factory installed tranny cooler (It was pretty small.) As far as the 27rr. I have had no problems whatsoever. We have a residential refrigerator which works only on an inverter or of course 120v hook up. The single battery I have lasts through the night when we dry camp, but I am thinking of installing another battery just incase we want to drycamp longer.
I am not sure about your Z71. You will want to double check your towing capacity and the payload rating located on your truck. A lot of people are down on pulling with a 1/2 ton especially with a unit as long as the 27rr, but I am within all my ratings and have towed in heavy wind, up and down hills, and have NEVERE "Whiter knuckled" it like some suggest. I get about 9mpg traveling between 60 and 70mph. The truck really seems happy at about 60-65mph. I don't try to kill myself uphills, but i have never had a loss of power.
I've never towed with a 2500 or F250, but when I look at the numbers, there is not enough of a difference to counter the additional cost. I tow about 12-16 weeks a year and I love having the 1500 for regular day to day travel. I know all 1/2 tons are not the same so you do have to be careful to check the ratings on your truck and check your weights at the scales. When I am hauling my Victory Cross Country (over 950lbs) the hitch weight is even lighter than the manufacture numbers due to the additional weight in the rear.
Again, I am not sure of your specs for the Z71, but I am very happy with my set-up. I know others will call me crazy and will go into hysterics because I am pulling with a 1/2 ton. But in my travels this summer, the 1/2 ton is more popular than they would admit.