Just an opinion.
Things get really hot during a regen. And it seems to happen a lot as you round the corner to your destination. I have an Edge Evolution with a pyrometer to monitor all temps including EGT and regen cycles. Used to have an Edge Juice w/attitude until the screen craped out. I run a mild towing tune. But get a set up that works for you.
This is my truck. 2007.5 6.7 3500 SRW CC/LB. 130k miles. I can't force a regen with my setup.
I mostly use the truck to tow a good-sized 5th wheel, 15k. So, the truck is generally working and driving some longer distances and for hours. The engine is a 1100 lbs. heat sink. My Edge tells me when I am in Regen, sometimes I have to back off a little to keep EGT numbers down when in regen. Usually, a downshift to pump more air through the system and drop some speed.
Now to the point. I don't like to turn off my engine when it is hot from hard work, or when it is in a regen cycle. When you put it in park the regen shuts down, but it takes a while to cool. I have a turbo timer. I can turn the key off, walk away while the engine is running. It will shut itself off when my temps reach 400F. This will help cool everything off while fluids keep moving around. Most times if completes enough of the regen to not start again next time I drive. This is very helpful if my wife wants to get into a restaurant along the way. I don't have to wait by the truck for cool down.
I don't like to shut down a hot engine. It was drilled into me a long time ago.
Sold my last turbo diesel to a buddy, 315k miles and no turbo or transmission issues. I just used to let it idle for a minute before shutdown if I was running hard.