I'm not sure that the pros stack a ton in chop; even waaaaay back when I used to race those guys, Robby etc could do a surf-slalom race in mast-high waves without dropping off the plane, and at the slalom worlds you'd be cactus if you stacked once during the entire series.
Two things that could help in chop;
1 - tilt the board harder, so that it's more on edge and the narrow edge can cut through the waves. To compensate for the tighter angle, use less rig lean and body torque.... hard to describe, but it works.
2- watch the inside rail where it engages the water. That gives you feedback on where the board is compared to the waves, which will allow your subconscious to allow for the effect as the board encounters the waves.
3- Make that three things - do the most difficult part (the rig flip and sheeting in) as you go down the chop. That means the board is moving faster, surfing down the chop, which reduces the apparent wind when you flip the rig.
4 - Make that four things

. When in doubt, as the boom swings around, bring the mast towards your nose. That means that when you sheet in, the rig is still close enough to your body and you don't end up trying to sheet in while standing too upright (rather than leaning back) and with the boom at the end of your hands.
5- Make that five things.

Try making sure your front arm is extended as your drive into the gybe.