If it were my $5000, I'd look at one of the high end Garands from Fulton Armory or Clint Fowler. I think both guarantee 1 MOA or less...Fowler's might be .5 MOA. Either way, you'll have a tack driver with SOUL that can handle anything you ask of it. Maybe invest in one of the M1D or M1C scope mounts just to have around for added versatility. Spend some of your earmarked ammo money on a few crates of M2 Ball from CMP. Relatively cheap right now and comes with the 'clips' already attached...in bandoleers too!
Next, I'd look at a CZ-75 but not in .40. God intended for the 75 to be 9mm. Grab a bunch of mags for this guy too!
Also, invest in a couple parts kits for the above weapons and you'll have a dead-nuts reliable EOTWAWKI setup.
Lastly, I'd take a serious look at either a reproduction PPSh or PPS-43. Both are being offered by a couple companies. Can't tell you anything about build quality, but if they prove to be reliable over time, it'd be a formidable 'throw over your back' weapon to complement your CZ and Garand. The ammo is plentiful and dirt cheap right now too!
I know you said you had all your emergency needs met, but from my point of view, it makes no sense to me to have any tool that's not up to task and therefore just a toy. All these guns would be equally at home at the range or in a mud filled trench!