The H/R as far as pure function is the ticket IMO. If you get a rifle you can fit it with shotgun barrels, but not the opposite.
If you are looking for something with a bit more form, Beretta made a few folding shotguns a while back that show up on gunbroker occasionally in the $200+ range. They fold entirely at the break so the barrel will touch the stock, and in many cases the stock has a notch cut for the barrel to enter.
fs-1, fs-2, fs-3, 412, 413 are the models.
Italian folder is also a good search term.
The H/R and italian folders have the same basic problem though, they are LIGHT. You can add weight to the stock, but that sort of defeats the purpose. If yo want "range" I assume you mean thumper loads. You won't want to fire many of either out of these, although I have used them to hunt squirrel and pheasant with the Remington Nitro pheasant loads. Those aren't the hottest loads available, but I usually use them for tie breakers in trap shoots from 50+, so they also aren't light.