It's still going to cost you just as much as it would to go with 4.56 gears, although I know they don't have them for yours yet. A gear swap for me cost $1700. Going with OEM gears are going to cost you probably about the same as with a brand like Yukon.
Your 3.55s will handle the 37s fine. I know a couple guys (BigHorn and Thor09) with 3.55s and 37s for some time now. Personally, I'd save your money until they get 4.56 out. I had 3.92s before I upgraded, and I really wasn't that impressed with them with 37s so I couldn't recommend doing it. I think you'd be disappointed for the amount of money you'd spend.