What is the GVWR of the trailer? People ALWAYS make the mistake of looking at an arbitrary dry weight that is made up as an average based on options but not real weight. What is the GVWR of the SUV and how much does it actually weigh with the cargo and passengers you plan to have while towing?
These two items are a must have when considering what can tow what. Don't take advise like you should be OK, Get the factual numbers to know for sure.
Example, you say 7200 dry weight, but what is the tongue weight? @ the 13% TW to use as a baseline for safe towing, that TW empty is 936 pounds, add in the weight of a WDH and you are at 1036 pounds. Does the SUV have that much payload available to handle it? Keep in mind that is on an empty trailer, and an empty SUV with a full tank of gas, no driver, no passengers.
Many think a Tahoe has a truck suspension, but that is wrong to assume, it is built to ride like a car, not a truck, which is why it has a lower tow rating. It has a softer suspension, but when weighed down, you want a stiffer suspension, so have to sacrifice towing for the ride.
So to know for sure, weigh the truck, weigh the trailer if you can, don't guess at it. Then you will know if it can handle it. Just because someone you don't know said they have done it without problems just means they haven't had a problem, yet. This is where that not a problem, when it becomes one, is a MAJOR problem.
Edit: looked up the trailer. I have to say, no, you really shouldn't attempt to tow that trailer with the Tahoe. Very few 1/2 ton trucks can tow it without being over weight. It needs a minimum of 1800 payload on the truck since it has up to 1250 pounds of tongue weight when loaded. That plus the hitch and a 150 pound driver and NOTHING else in the vehicle comes out to 1500 pounds. Most pickups have just under 1600 pounds unless it is a very low trim with few options. Thats a lot of trailer for an SUV.