That first .22 target pistol is a significant expense.
1. If you are economy-minded, the best value is the Ruger Mark II.
I've owned several Ruger Standard Models (the predecessor to the Mark II) in both fixed-sight, target sight, and bull-barreled models. The pistol will shoot better than you can. Many championships have been won using this pistol. You simply have to be a better shot than your competition.
Stripping AND assembly is easy once you learn the little trick of positioning the hammer strut BEFORE you snap the mainspring housing closed.
2. For elegance, the S&W M41 in heavy-barrel slide configuration.
Expensive, but all machined parts. The several samples I've shot were all very accurate. I can not recommend any of the other S&W auto pistol models.
3. I've handled and shot the Browning Buckmark, but didn't care for it. It lacked the "feel" and quality of the old Browning Medalist.
4. Sorry, but I've no first-hand experience with the model Beretta or the Hammerli pistols you mentioned. Years ago, I shot the M71 target model extensively, and found it to be only "okay" for accuracy. The sporter model M71 was only capable of plinking accuracy..
5. For many years, the High Standard auto pistols dominated the competitve shooting scene. If you can find an excellent used one, you may find that more satisfactory than a new pistol without the performance record of the High Standard Victor or Olympic models.
HTH
John