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OK, Based on what you've told us, you just may be at the limit of the transmission's gearing. What you want to do is keep it from shifting as much as possible. So going up in overall diameter is not a good option.
Your truck came with 15" P metric tires. Those have a tire sizing structure that looks like this:
P235/75R15.
You've got Flotation sized tires on there now. Those have a sizing structure that looks this this:
29X8.50R15LT.
The other common sizing system is LT metric - and they look like this:
LT235/75R15.
You do NOT want LT metrics or Flotation sized tires on your truck. Those tires were designed for more rugged usage. They will not be built out of materials that are good for RR.
You'll want to use as big a 15" tire in a P metric you can find. Unfortunately, your truck came stock with 6" wide rims and that limits you to P235/75R15. There are only a few LRR tires listed on Tire Rack in that size. The problem here is "LRR compared to what". I do see some tires that might be OE on something - Goodyear Wrangler SR-A for example - and those are likely LRR even though Tire Rack doesn't list them as such.
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