Linux, I do not have a Tahoe but I've owned one along with an Expedition and many mid sized SUVs. My son drove Tahoes exclusively for a period of time. I hope someone may chime in with hands on experience with your setup but;
I think the Tahoe will do fine with your trailer. Not so much with large trailers but the 195rb at 23' is below the line that would start being a real problem for a Tahoe sized vehicle...to me. With a gvw of a little over 5k it should do just fine with that as well. These are my personal observations/opinions but I don't think you have an issue at all...just use a good WDH/sway control. The shorter wheelbase is what will get you with an SUV so make sure you have the sway; put on LT tires if you can. No larger than your trailer is the P rated tires on the Tahoe would probably "get you by" but LTs would sure improve your towing experience.
Now....not a "truck" guy? Come on, I thought everyone was a truck guy at heart.
How does one haul "stuff", bring home the firewood, carry off the junk to the dump, etc., etc. etc. etc.??? I'm thinkin' keep the truck since it works well for you and gives you the benefit of all the things a truck can do
then just buy the SUV for those "other" trips.
That's what we do and it's the best of both worlds...and I don't have to have a large SUV to transport me, DW and puppy to all the places we like to go....it just has to be 4x4.
Good luck on your choice and purchase - I think you'll be fine (JMO) if the Tahoe is what you want to do in your particular situation.