Late to the party and I'm coffee'd up, so a +1 if anything has already been mentioned.
When first autocrossing my vee, it had push everywhere. Corner entry and mid corner were particularly bad. Forgiving for some situations I suppose, but lazy for autocross. Going to 10" width tires were probably greek to the existing chassis setup as well.
I went 1/8" toe out and raised the rear a bit which also removed some neg camber. I'm still around 2-3 degrees
total neg camber in the rear, and aggressive (but gentle) droop limiting keeps things in check. Also set my rear toe around 1/8" in. Since your most severe push is under braking, check your bump steer. You may be going far toe in when the front squats. Get a second set of hands, stretch a tape across the front wheels, and stand on the front end.
Check this website for some help At least establish that something isn't way out of wack, then go from there.
Cars are different, but these things worked for me and my zero-roll. Some or all may apply to your setup. Don't discount something as simple as tire pressures either. Mine are only around 15f and 16-17r. Good luck.
By the way, I picked up that vee in Lafayette that you had your eyes on a few years ago. You wouldn't recognize it now.