I wouldn't bother with the thick plate bullets*. I added an edit above to note that with Berrys flat points in 9 mm I can get real close to 1 inch at 25 yards. With a red dot and from prone. Iron sighted handguns and I don't get along at 25 yards-and beyond-anymore if we're talking about itty-bitty groups.

* I haven't noted any ill effects with the standard plate at around 1250 f/s. I expect a lot of the alleged drama around plated bullets has to do with the quality and the thickness of the plating.