37" rubber will be pretty heavy and swapping to 4.88 gears just makes it like running 4.10's with oem tire size.id want more gear for towing 10k lbs with heavy meats like that.id swap in at bare minimum the 5.13's.
the 5.13's are extremely impressive with 235/85/16 but they'll just be like 4.40 gears in your truck and feel like a truck with 235/85/16 with 4.10's probably.the bit extra to compensate for the extra tire weight.
strongly consider the 5.13 ring and pinion for 37" meats (for the 4.40 effective ratio) and 10k lb trailer towing.anything less,and i think you'd wish you went with more gear.
all i need for my f450 with the banks turbo/intercooler/maxed ip/G codes/8* BTDC are 4.30's.the 5.13's in the dana 80 are stupid fun though! i can haul a house uphill in OD while gaining speed.
(while still getting 460 srw pickup truck economy of 9 mpg though.)
if i were to run a turbo idi pickup with 37" rubber and i planned to tow 10k with it,the only thing id be contemplating is 5.13 or the 5.38 r&p.