I have replaced all the locks and latches on my chopped 28 Model A, but the doors still pop open when traveling. I have adjusted everything. I remember seeing a set of dead bolt locks that the handle twists on the inside of the door, but i cant remeber who makes them and i cant find it online...
I've had a bit of trouble similar on my chopped '31 coupe,especially after I added some sill plate. I need to trim the inner door panel a bit and I found that I needed to shim out the latch plate that mounts on the door jamb. Mine were not protruding out far enough to really catch the door latch. Then it was fine. Hope that helps.