Depends how fatigued your torsion bars are. 'leveling' keys will re-index the torsion bar fit enough that you can get some more out of tired torsion bars and get more before the 18mm adjusting bolt bottoms out. But you don't want to do that regardless and maxing the crank gives you a jouncier ride in general and puts your upper control arms practically right on the upper stops, also impacting (literally) your ride on the rebound.
I'm somewhere shy of +2" using Rough Country leveling keys - I've got about 3/4" clearance in both the upper and lower bump stops - and put in 2" spacers on my stock original Z71 springs. I'm farting around on rutted / eroded fire roads in the SoCal mountains and dry river beds / washes. I've got just over 14" of clearance under the frame rails and I'm running stock size replacement tires.
still looks about like this, still has a very comfortable factory-like ride, too -
OP, you wouldn't need to do more for transporting your family anywhere your trailer can go. The only other thing I'd suggest is some airbags to hold the rear up if your tongue weight / trailer load is bad. But the stock ClassIII hitch / tow package is only rated for a max 500# tongue weight, too.
My other key suggestion for you is to upgrade your external trans cooler if you are hauling that full load+trailer up any mountain grades. Anecdotes seem to indicate the 4L60E craps out under extended heavy load / temps exceeding 275F. Which isn't that hard to do with a full load in summertime where the in-radiator loop of the trans cooler (it's actually designed to be that way as a trans-WARMER) will cause the trans to run at around 205F normally. And the tiny factory trans cooler in the tow package is very poorly placed, too, mostly behind the bowtie logo in the grill.
I went the maximum aftermarket cooler replacement and my temps are ridiculously low. Instead of 60-70 degs of heat margin, it's more like 130. It's rarely more than 45deg over ambient.
We drove and hauled all sorts of stuff for many years with our '05 Z71 Tahoe, bought new. Just sold it to a boardmember last Halloween with 200k mi on it. Very little trouble and all easy to fix or maintain. Much of that and the trans cooler and all the rest are detailed in the 'vortec guys' topic in my sig.