Tow Vehicle Woes
More than capable for the task, brakes are more than good enough too.
Trailer brakes are pretty reliable, a simple rule regarding them is to test them every time you start driving, and if they don't work, stop and fix them.
Even so, I haven't seen a vehicle made in the last few decades that was not capable of locking every tire down under any condition. If you were to lose trailer brakes, the limiting factor is not going to be lack of brakes, but lack of traction.
In this regard your Tahoe is as good as any 3/4 ton truck and many one ton trucks.
The fact that I am opinionated does not presuppose that I am wrong......