Advice needed with wheel size and gear ratios.

By going from 265/70/17 (31.8") to 35" tires you're are essentially reducing your rear axle ratio by 10%. From 3.73 to 3.38.
Looking at Rams towing chart going with a 3.73 tow rating of 10,350 to 4.10's increases it to 13,350. Assuming that reducing 3.73's by 10% your new tow rating would be 7,350lbs. If you tow less than that then all will be good.
JMO but I can't imagine a 2500 5.7 with 3.38 gears. Your mpg would take a big hit and towing power would be sluggish.
Remember too that your 1500 weighed considerably less than a 2500. And you already started out better with 3.92's over 3.73's.
If you had 4.10's in the 2500 it would be better.

Larger circumference tires raises the gear ratio which reduces towing power.

Larger diameter tires will essentially reduce the gear ratio numerically. You will lose some pulling power.

I personally wouldn't see any benefit in the change but some obviously do. They sell lots of aftermarket tires and wheels.

Make sure whatever you buy has a load range equal to or higher than original.