Re: Suggestions for .22 Pistol
as noted in the many posts above, as far as a dedicated semi:
the rugers are super accurate, but are sometimes finicky with different ammos. also they are a bit pricey to outfit many shooters.
buckmarks are nice also, but much like the rugers, the controls don't mimic centerfire pistols.
S&W 22A are more affordable, are pretty accurate for the money, will probably be the best choice for outfitting many shooters, but again like the ruger and buckmark, the controls are less than duplicating the centerfire pistols. i have not had any issues with mine, pretty accurate, eats / shoots all sorts of ammo well.
if just concentrating on trigger control, sight picture, grip, etc., the controls may not be a factor.
i don't know how the SIG shoots accuraccy wise, but obviously is a "duplicate" of a centerfire pistol and will help with getting familiar with using the controls in the traditional places (slide locks, mag releases / mag changes, safeties, etc).
maybe look into a walther p22 for a semi also.
revolvers- nothing like a S&W when revolvers are concerned, but taurus offers more affordable solutions
i don't know if you have any pistols on hand that you use for your intruction, but perhaps pricing out / getting conversion units would serve you better. they have them for glocks, 1911, sig, CZ, etc. you would have a decent amount of accuraccy for static marksmanship drills - coupled with the same operational controls, using the same holsters, and the ability to practice draw / double taps / reloads / assess the threat drills more economically and more muscle memory that can be applied to the centerfire big brothers.