You mentioned an occasional possible PPC match.
PPC rules are specific and limiting in what is permissible.
The Olympic style guns such as the Pardini are excluded.
Secondarily, ammunition too, is a factor.
I hold one PPC record outright, and co-hold several more.
I used, and still shoot several now discontinued S&W Performance Center PPC’9’s. I used a load remarkably like the one mentioned earlier. Sierra 115gr JHP, Federal spp, Federal nickle brass (from HydroShock), and Bullseye, WST, HP38, or more recently PowerPistol or BE86. A former moderator for this forum called me “full of green garden fertilizer“ when I claimed (but later proved) accuracy levels twice as large as you seek. A lightly used PPC-9 will fetch 3,000-5,000 on gunbroker.
The level of accuracy you desire will be VERY expensive and QUITE SHORT LIVED. A revered long-time competitor in PPC who was something of a mentor to me also shot bullseye on the Springfield Armory factory team. He considered 5,000rds to be the upper limit for a match 1911 before it needed rework.
He set several long standing records and he had a “stash” of barrels cut for him by Jimmy Clark. They were cut from Douglas match blanks, with a 1/12” twist. He exclusively used Speer GoldDots. He had a milling machine and lathe and fitted his own barrels. From a Ransom rest, his guns would approach the accuracy you seek... He built his own and if sold, would fetch upwards of $4,000.
Only a few factory 9mm loads are capable. The 115gr Federal 9B Classic is one. Others are the Speer GoldDots, Federal Hydrashocks, and Atlanta Arms (what the AMU teams use), as well as BlackHills, and HSM. None are inexpensive!
I’d start with a Springfield Range Master or Kimber Match II. Customize from there as need arises. Either of those will get you up to Expert or Master class. I shot a national record in 2008 in Match 8, but have never shot a High Master score in a 1500 with a semi-auto. (1485-1500).
Good luck with your journey. It’s the adventure, not the destination, that matters.