34-39psi? That must mean you have 44 or 50psi tires...
Our 33" BFGs were 50psi max tires.. the current 33's are 35psi.. So, choosing your psi is very dependent on how heavy your truck is, the weight carrying capacity of the tires and of course, at what pressure the tires can carry the weight.
Also, Shocks will "help" the ride.. They will cut down the "bounce", If they are way too tight they will help make the truck ride like a board as it won't let the suspension move. BUT.. your springs will have a lot to do with it too.
The stock front springs are linear rate, meaning they are the same stiffness all the way thorugh the travel. Going to a progressive rate spring will make the truck ride "softer" when cruising down the flat road, but will stiffen up if you hit a bump hard enough to let the suspension travel some.
There is a trade off though.. If you want a nice "flat" ride, but soft (not board like) you are basically fighting the suspension types. Flat ride normally means stiffer springs with stiff shocks while softer/smoother suspension means more body roll etc (sway bars will help that)..
I don't personally have experience with them, but the self adjusting shocks "should help" in theory as they are softer until they are moved quickly..
Just throwing out some info/ideas in case they help.. I know our truck rides very smooth, especially across really rough terrain, but I have nice long pregressive rate springs and 12" travel shocks up front which means also means I can get people seasick because it doesn't ride flat (no sway bars either).. I'd say its the exact opposite of a "flat/sporty" ride, but its amazing "smooth"
~Mark