Of the firearms listed by the OP I would look for a good clean Browning Superposed in 20 Gauge. That is because I'm a shotgun guy. I hunt upland game so a light 20 Gauge Superposed is a gun I would shoot and use. I could go with a 28 gauge but finding one under $2K might take stealing from a widow. I wouldn't buy a 12 just because 12 Gauge Superposed swinging like 2x4s; but that is just me.
Of course I would avoid, or look long and hard at, any Superposed manufactured from 1967 to 1972 because of the infamous salt wood issue. Many collectors won't touch a Browning made during that period. I might buy one from that period if deeply discounted and there was no sign of salt wood damage. A couple of weeks ago I looked a nice little Browning T-Bolt made in 1970. The gun was pretty clean and looked good until I pulled it out of the wood. The amount of rust cancer and pitting was amazing. I was surprised because most of the salt wood damaged Brownings I've seen have been in higher grades with fancier wood.
If you look at Superposed made between 1967 and 1972 take a good loop and study the areas where wood and metal meet. If you see signs of corrosion pass. If you can; pull one of the screws that hold the butt plate in place. Again, if you pull a screw and it is rusted; walk away.
Give me a late 50's, or early 60's, 20 Gauge Superposed and I could be happy. They are a classic and they sort of aren't being made anymore (I'm not counting the FN B25s that the FN Custom shop is building these days. Having them build them at prices starting in the upper teens certainly helps with the future values of older Superposed.)