Most i have around here are a couple 4100' passes, one near the house I have to hit heading north and west and the other on the far end of L.A. (Conejo Grade, I-15), both are long slogs when heading north. I just vroomed up Conejo ~48hrs ago taking a longcut around the terrible sunday eve traffic westbound on the 210, 10 and 60 fwys. It's 30mi further the long way around the bulk of L.A. but over an hour faster with much less traffic, looping around the high desert.
My Sub's running about 6200-lbs with a couple people and and some stuff in it. If I can have free running I can keep it in the powerband over 75mph up those grades. But any moderate traffic and fast lane campers and I bog down a bit and then I'm falling down into 3rd and pushing hard to get back in the higher band when I can.
martin's got the factory 'tow package' and I'm trying to remember if the vehicle manual says to leave it in overdrive or put it in 3rd when tow mode is engaged. I also haven't asked martin if he uses that mode, I'm sure he does. But I also recall that it doesn't stay engaged after a vehicle shutoff, you have to turn it back on. I've forgotten that a few times. And it's mostly about a computer change of shift points. I'm not sure how it helps or hurts when stuck in a long laborious climb of a 11,000' peak that he makes.
The GMT800 k1500 tow package vehicles with factory Class III winch have a 12000-lb GVWR. A Sub fully loaded with family and gear and a trailer likewise, his rig is at least 10,500-lbs. Maybe 11k fully wet, both Sub and trailer. Even trying to go light on fluids until near the destination or over that killer grade would only save maybe 300-lbs, max. Barely 3% of the load. Seems like re-gearing or improving engine performance are about the only things that could help.