Junk silver and small, marked (quality/weight) bullion for SHTF bartering.

ASE or larger bullion for wealth preservation across a currency change during SHTF type scenario.

As for ASE boxes, if they aren't anything special, just the "I bought 1 at a time" box and whatever, don't worry about it. If it's grading or collectors stuff, leave them as is.

As for junk silver, it's less common, but check your change when you pay with cash. Anything pre-64 is worth a hell of a lot more than the face value. I ate out a few weeks ago, and got a pre 64 quarter and dime back. Basically paid for me to have my meal.