For reference the truck is about 5300 lbs empty and around 6880 loaded with a 7k GVWR. So I'm not overweight total, just a bit over payload and rear axle rating.
Did you measure the weight? Curb on yours should be 5,700 or more with options, GVWR is 7,200, and axles are 4,000 front and 4,150 rear. Staying under the axle ratings is a good goal...
Since you said "bone stock", I'd recommend LT tires, better shocks with a < 2" front lift, and... springs, rather than bags. Tried bags; they were bouncy, and the cradle limited up travel like MotoDave mentioned.
I bought a kit from Boise Spring that replaces the thick overload spring with a pack of 4 leafs on each side. They supposedly make a set for +1500 lbs added which is what I ordered, but they didn't reduce the sag much... which isn't surprising considering how thin they are... 8mm 9mm. Anyway, I ended up buying a pair of long 10mm leafs from Michigan Truck Spring and installed those. Now I'm about where I want and the ride is nice... but I bet I only have ~1,000 lbs added to the rear axle and I plan to increase that. So I may be adding yet another leaf for 9 on each side!
Basically it looks like a Alcan or Deaver pack now, with many thin leafs. That is what you want. Thicker leafs or ones with more curve will increase your ride height, but they will get over stressed and sag if you really use them. More leafs with the stock curve is best. With hindsight I wish I'd bought a 2nd gen Tundra take off leaf pack and cut them to taste (no overload). Or maybe bought full packs from MTS and cut those; ~$500 with shipping. Their overload appears to curve down quite a bit more than OEM, so it might be useful. Or if your springs are old and worn, your could start with their HD pack (~$650), and see how that does. Or if you don't wish to fiddle, and money isn't too tight, see Deaver or Alcan and spend ~$1500.
If you like to camp in remote places, then get larger diameter LT tires for ground clearance. There are sizes that fit well on your stock rims, like 295/70r18 and 285/75r18.
Bilstein 5100s are a good low budget choice for shocks. I like my Ironman FCPs a lot, but they changed them and I don't know about the new ones.