I have a vintage (1970s) Super Bearcat - it's a nice little SA and fun to shoot. My wife (who never showed much interest in shooting) likes it so I've sort of saved it as "her gun".
I've heard of some with tight chambers - this isn't a big deal as you can either change brands (if you can find any 22 ammo) or you can polish the chambers which seems to take care of the problem.
Accuracy? I would say it's going to be about like any 22 SA. But, like any SA, you need to learn the individual gun and how it shoots. I've shot SA for many, many years - BP and cartridge - and for those who are used to the "fancy" sights like a lot of the DAs have, you need to learn the quirks of the gun, how it sights and maybe add a little "Kentucky windage" in to the scenario - which isn't a bad thing to know.
I have no idea of how the new Bearcats are - the ones I've looked at are O.K. but as far as I'm concerned, too pricey. I own Colts, Rugers, S & Ws, Sigs, etc. and I ended up picking up a Heritage Rough Rider with a 4 3/4" barrel for a "knock around gun" on the farm. No, it's not a Colt, Ruger or a S & W but it's nice shooting little gun and plenty accurate (at least mine was out of the box). You might think about something like that to start her out with and if she likes it and continues to want to shoot, then upgrade to either a Bearcat or maybe a Single Six as she gets bigger.