In all seriousness, if the single trigger solves the issue, go for it. My bias is exactly that -- a bias -- based pretty much in nostalgia.
I have a permanent lump on my middle finger from shooting my Ithaca 3 1/2" 10 gauge double. I use the gun for turkeys occasionally and just decided to fire the back trigger first. Problem solved, but not practical in your situation.
One thing you might examine as you're working to resolve the issue: how do you pull/squeeze the trigger? I've tried to train myself to pull the trigger with the pad of my trigger finger only. I see some guys using the area between the first and second joint...which pulls the hand up toward the trigger guard.
Another variable is the stock configuration. The straight stock, in my experience, moves the hand back a bit (and makes the transition to the second trigger easier/faster). You might try someone's straight grip to see if that makes any difference.
In the end, my guess is that you'll find the right gun for your clays shooting...after trying as many as possible. Get the one that works for you.
They say beware the guy with only one gun. Okay, I get that, but he's not nearly as much fun to hang out with as the guy who gets to choose just the right one for the job at hand.