If you've got the stock non billstein (non off-road package shocks) we found that was a pretty good indicator they were blown depending on the aggressiveness of said speed bump. That said even a stock ORP truck will bottom out on the right speed bumps as there isn't much in the way of travel at all in the stock front end. Even then the bone stock 2500 ORP we have with a ranchhand on the front of it still handles speed bumps or gravel road divots far better than the non ORP truck it replaced when it had the stock shocks. The non ORP truck ended up needing new front shocks on it around 15k and had the same feeling your describing that only got worse as the shocks started going.
I'd say if you have the non billstein stock shocks and they've got some miles on them - Replace them before playing with anything else - 4600s are a safe bet, but there are other options that are better than the stock junk. If you want better performance than that then it's time to look at leveling springs w/ matching shocks, sumo springs, etc.