The single largest reason I have not leveled my truck is because I have a TC.
In general if you airbag the truck back up to level with a 2” front lift, you’ll be bouncing on air going down the road. Suspension needs to settle in and take a good amount of the load or handling will be even worse.
With the right offset rim you could get by with 295-65-20s or similar with minimal to no rubbing. Even 35 1250s, maybe but it’s close.
The leveling kit reccomendation is spot on for keeping 35s from rubbing, but not an ideal application once you throw 2 tons in the bed. There’s a reason trucks are raked front to rear in the first place.
Since you like springs over bags, I bet you could level it and get some good heavy bolt on overload helper springs for the rear and get in the ballpark level and not bouncy and fit 35s. That’s what I’d consider if I was set on leveling AND running 35s.