(doing a search for the Brenneke slugs & ran across this thread ... )
Nonetheless, the Rem Express 870Y(outh) 20 ga is a beaut, & especially for those a bit shorter of stature.
The Wife, at 5' even, shoots this very well (does need a bit of wing-shootin' pratice, but ... ) as is/stock & I, at 5'17"
merely had to shim the stock-to-receiver junction downwards to allow POA & align the rib. (different shooters = we each have our own & outfitted with a "box o' chokes" for variety)
That shimming BTW, if curious, took about 10 minutes & some shims (matchbook covers could work forever) = I'm set.
A dandy mostly "go anywhere" shotgun. Haven't yet played enough to wring out all its tricks, but for upland-type game & home defense = pretty tough to beat.
Not necessarily a "goose-gun," but that wasn't the question, was it.
At (last check) ~$235, it'll fit the budget. Comes with (IIRC) a modified screw-in tube, & for another ~$12-15 per choke, you'll have a "do anything within reason" for skeet, upland, decoyed (& some pass-shootin') ducks (& close-in geese) + your HD gun. Check out the quality slugs (& after doing a familiarity w/a bit of variety) & it'll do (at the least) deer.
Wonderin' why I ever bought a 12 ....