Dig for a used, old Ruger mkII or a not-as-old mkIII, in whatever barrel length and grip style you like.
Inexpensive, relaible, eats cheap Fed550 ammo like candy, works with an "ultimate cliploader", mags are easy to find, newer ones have a standard rail in the box if optics are your style, and cleaning is actually pretty easy if you're willing to understand the internal workings.
(there are endless reviews online from people incapable of understanding the internal interactions and thus boogering up their pistols by forcing things into incorrect assembly positions, disregard them if you are capable of changing a battery in your own watch)
Browning makes the Buckmark, Walther (actually Umarex who bought rights to the Walther name) makes the P22, Beretta makes their goofy Neos thing and S&W makes the cheap 22a and the expensive model 41.
If you want .22mag KelTec is getting a spiffy 30-round autoloading pistol on the market right now, they call it the PMR-30.
And there are too many revolvers to list.
There are also endless "what .22 pistol do I want" threads, do some searching with those models as your search terms and you'll find tons of info.
What I would do if I had frequent time-killing trips to the range:
buy a 5.5" Ruger mkII or mkIII, get some spare magazines and an "ultimate cliploader", and stuff all that along with a few bulk packs of ammo into a large pistol case, ready to go whenever.
... ... wait, that is what I do! I've got a "go shoot rifles" kit, too ... it has a Kel Tec sub2000 in it along with mags and ammo ... I wonder which weighs more?