The mini is not tack driver; and attempting to make one into such is cost-prohibitive. Your cases should work OK even if the ding doesn't iron out in the resizer die, they will pop back out when they are fired. Brass is soft enough that the amount of energy needed to pop it out is not going to affect cartridge performance.
Although the Mini ain't the pick of the crop, it is still a pretty reliable, workmanlike semi for applications like a truck gun or an 'intruder chaser'. Get a set of 30mm Ruger rings, mount up a cheap dot scope with a 30mm tube, and make the best of it. Someday, maybe soon, semi's could become unobtanium, and even a Mini, under such circumstances, could become a boon; remember, hairsplitter or not, they will still go bang, bang, bang on demand.
If you want to save money on ammo, and still have the option of reloading, take a closer look at TulAmmo 55gr FMJ steel case. Some of it is Boxer primed, read the box to separate Berdan from Boxer, and it's most definitely reloadable. You can even pull down the original loading to do load development with the provided components and find something more accurate. The only thing I do different is to inside chamfer the case moths to eliminate bullet shaving during seating. I am up to five reloadings in my Stag Model 6 Super Varminter. Accuracy is indistinguishable from brass cases.
I pulled mine down and sequestered the bullets and powder for a final reloading of the cases. Meanwhile, I use the cases for 69gr and 75gr Match reloads in m Stag and MVP with no obvious penalty.
I even tried the original 55gr FMJ exposed lead bullets loaded backward as 'trashcan hollow points'; but accuracy, even in a decent shooter, was crap. Up close, maybe with intruders inside your house, who cares about that? If you doubt me, you can try one on a water-filled gallon milk jug. Awesome, Dude! The resulting round is pretty short, but they still feed OK in my Stag. YMMV
Unless you can produce your ammo for well under $.25-$.30 a round, this may turn out to be the better way to go.
Greg