FWIW
My FIL bought one of the Armscor M-200 revolvers with the snub barrel for about 215 or so from the BX. I fired about 100 or so rounds .38 lead 158 gr. SWC-HP with it to break it in. Decently accurate but the OEM grips suck. I persuaded him to get some Colt Detective Pachmyrs which fit and improved the shootability significantly. Colt Detective speedloaders work and while the revolver was roughly finished, it functions perfectly. Trigger pull is adequate compared with my Smiths and Rugers. Sights are pretty good for this level of spending.
I have found a few online brokers a bit cheaper but then figure in FFL transfers and shipping and you end up at about the same as the LGS with less recourse for returns.
By the way, I owned one of the original Saturday Night Specials in a 1968 Burgo .38 special probably made by Rohm. Despite its humble origins, still functioned well and was very accurate within 7 yrds with lead ammo. Would not have wanted to fire on a frequent basis with +p ammo but it did ok as a first gun for a poor graduate student firing 100 rounds or so a year. The Armscor is certainly made better than that gun.
Last, but not least, make sure that she knows that snubbies are harder to shoot well, will recoil more, but are more concealable and somewhat lighter. The 3" or 4" are still concealable if you use purse carry, are easier to shoot well with lighter recoil and a better sight perspective. The 4" or so are also easier to reload.
Just my humble opinion, but get the Armscor 4" and a decent holster, run some ammo through it, buy Grant Cunningham's book on Revolvers as Self Defense Weapons, and maybe the 6th Edition of Combat Shooting by Gun Digest (or videos if that is her thing from the various PDN folks) and a pamphlet/book on state Gun laws/Self Defense (perhaps Branca (more lawyer like) or Mitch Vilos (more anecdotal/ease of reading). All of that should fit under the $350 mark versus just a revolver alone. Just like a computer needs software to run, gun owners need training, holsters, knowledge, in order for any gun to run properly.