TL;DR: Suggest a quality, accurate, short-stock, bolt action .22 that won't necessarily break the bank.
So, I recently had the pleasure of taking a fairly new (to rifles) shooter out to test some of my rimfires. She did quite well with them, but they were a bit of a challenge for her due to a few factors.
She is about 10 inches shorter than I am, and this presented challenges with getting a proper, consistent cheek weld and proper sight picture through the scopes on most of my rifles. All of these rifles have fixed wood stocks, and being 6'2", I have never been too concerned with the length. Ex-girlfriends who were 5'6"/5'7" were able to use the rifles, but they may have been the lower limit to who can use a full length rifle stock comfortably.
Based on discussions with this shooter, I feel like what she is looking for is something:
-With an accurate heavy barrel - or at least heavier sporter barrel. She seems interested in accuracy at 50-100 yards with a rimfire, most likely in .22LR.
-She seems to like a bolt action very much - the act of cycling the action and the actual solid feel of the action/bolt.
-She needs something that has a short/youth stock, something where replacement short stocks are available to fit, something which could be cut down to fit her better (without Bubba-ing it up), or something with a kind of adjustable stock where it allows for short length of pull.
-She mentioned her vision being a bit of an issue, so ability to mount a scope with plenty of eye relief and reasonable zoom is likely high on her list - I'm guessing something in a 3-9x40 or 4-12x40 range would serve her well, but that's a whole other discussion.
-She had mentioned weight as a small issue, however, I don't know that she will be shooting while standing or otherwise unsupported that often, and on a bench, a bipod or bags could support the rifle. I also don't expect the rifle to be carried in the field or really, for any long distances.
-Cost is always an issue for everyone, so she was questioning if it would be better to get a $200-500 rifle now, or if saving up for longer and getting something more expensive and better later on would be a better move. There are plenty of used, quality rifles out there - but I'm not sure how many target/match grade rifles are youth models, or can be adapted to shorter LoP. I also suspect a year or two of extra practice with a cheaper rifle before getting the better one would be better than not having anything.
-She doesn't want to spend boatloads of money on match ammo, but she won't be running terrible bulk ammo, either. Her preferred ammo seemed to work quite well in my rifles, but rimfires are always ammo sensitive.
Her favorite rifle of the day was a Savage 93R17TR, a .17 HMR rifle wearing a Nikon Buckmasters 4.5-14x40 scope and a bipod, stock Accutrigger set to the lowest setting it would go to. She especially liked the extra recoil and noise of the rifle over .22s (especially subsonics), but the downside of increased ammo cost and lack of true target/match ammo was a factor.
Her second-favorite was a Savage Mark II BRJ .22 LR rifle wearing a SWFA 16x42 SS scope, bipod, DIP bottom metal, and Apachee trigger set to ~1-1.5lb pull.
Her third favorite was a Marlin XT-22 .22 LR wearing a Nikon Prostaff Rimfire 4-12x40 scope and bipod, in a Boyds SS Evolution stock, stock trigger set to the lowest setting it would go to.
So, after all that, any ideas what she should look at? I was going to tell her to look at a Savage Mark II FV, and then find a youth stock or order a shorter Boyd's stock, but Boyd's only makes 1/2" shorter custom stocks, so she would need one further cut down if she went that route. I know a lot of people like the CZ 455 as well, but I know little about it. To be honest, a lot of even the cheap $200 rifles out there today are plenty accurate, and would likely serve her well for years to come.
I know there are a lot of used fairly inexpensive Remingtons out there; I dunno if modifying them would be a good idea, but 504T, 521T, 513T, 511-x, 541s, 540xr are all on a list I have of rifles I want to look into and I've seen some of those for under $500 used on gunbroker. I believe the Marlin 2000L was a youth-oriented target rifle, but I couldn't find pricing on them when I looked a while back. There are also old used Anschutz rifles I've seen in the $600-900 range which might work very well, other than the stock. And then there are the very expensive models, where you're looking at $1k+ used/new, like a Rem 40x, Winchester 52 target, Kimber 82, most Anschutzs, where she might be able to find an aftermarket stock (so as not to destroy part of the investment, though this adds even more to the cost)
Thoughts?