Paradox barrels sound great!

I think the best 'All around kit' would be a set of cape barrels, with a jug-choked 12bore barrel and a rifle barrel in anything in the 300H&H to 9.3mm range - with QD scope mount.

That would cover everything (else) aside the .470

With hotrod ball loads it's a close-up soft-skinned animal smasher, with shot it's good for bird stew at camp, with the medium caliber barrel it's good for shooting to however far off you want to shoot -- and with a sub-caliber insert in the 12bore barrel you have rimfire or hornet or whatever suits your fancy for small game.

Pretty much covers everything.
Double DG rifle with a full-kit answer for everything else you'd want to hunt.

For ultra-style points, you can have the 12bore barrel done in Damascus, either from a new-old-stock barrel blank forging or from Damasteel.
The additional cost for the material wouldn't cost too terribly much more than otherwise, considering the full-suite cost of the rig.
Have it cased, have tools made to load the specialty shotshells, don't look back.

Cheers
Tinker