Ain't gonna get top quality for a grand. Real quality SxSs can be had for about 3 to 4 times that. However, I do own a rather cheap Remington Spartan 20 gauge SxS coach gun. I hunt doves with it and it's quite effective. It's a bit whippy, but nothing I can't concentrate with and swing on high birds, yet it's VERY quick up close around tanks and I'd think this little toot would be a deadly quail gun. It ain't much to look at, no adornment, pure working tool. I had to shim the stock as much as it'd go down and left as it has right hand cast to it and i shoot lefty. I got it about cast neutral and it's much better now. Fit is important. Being a lefty sux with doubles as most of them has some right hand cast to them.
Main reason I got a coach gun is I wanted something that would break down and store in the saddle backs of a GoldWing I owned at the time. It stores nicely in a back pack, too, very handy little gun. It shoots, it is decently regulated with a bit over overlap at 40 yards, but not enough to throw you off and it's dead on regulated at 30 yards which is where most doves are shot.
Buddy of mine has a CZ made in Italy, not Turkey. THAT one's a shooter, but it's an O/U. I've looked at Yildiz O/Us, didn't like the fit much, but did like the quality and the fact that warranty and repair work is done at Briley in Katy, Texas, not too far from me. It's sold through Academy stores. I've not looked at the Yildiz SxS, not really in the market, but I know the O/U has a good rep. Yeah, it's Turkish built, but seems of decent build.
What irks me about the more affordable guns when you mention them on gun boards, the snobby shotgunners will cut 'em down as not being durable. That's probably so if you're going to shoot 100,000 rounds at clays a year. BUT, I shoot maybe 10 boxes through the Spartan in a dove season, MAX. That's only 250 rounds. I might pop a few more at clays informally through the year. My gun will out last me twice over at THAT rate. I wouldn't worry too much about durability of the gun for hunting, you just don't shoot 'em as much as a serious clays shooter shoots his. I like my Spartan a lot, seems well made, if a might ugly, and it was only 300 bucks. It is my favorite dove gun at this time, my go to. I have a nice autoloader I like, but while it swings well (28" vent rib barrel), it's not as quick on close birds over tanks. It's light enough to be decent, better than my Mossberg pumps, though. It's a Winchester M1400 I bought 25 years ago and was my primary dove gitter until I got the Spartan. What you need on quail is a quick pointing gun, so I'd pick the Spartan first out of my available shotguns for a quail hunt.
Remington imported the Spartan from Biakal (Russia). You can find the Biakals, think they're being imported again. An oft recommended gun is a used Savage/Stevens 311. Most of the older guns are fix choked and are choked too tight for quail hunting. Too, those old guns handle like a 2x6 plank, too heavy for upland hunting IMHO. My Spartan came with four chokes, cyl, IC, Mod, and full. I choke it IC/Mod for doves, would probably go Cyl/IC on quail. I/C is deadly at 25-30 yards. Past that and a quail is gone, anyway.
This is all JMHO. Others will add theirs. First and foremost, mount the gun in the shop and see if it fits. Fit is everything in wing shooting.