Many people - including me - reckon that physically destroying components adds to the visceral impact of the game. When you're supposed to tear something up, I recommend you really do tear it up.
Of course, you can then keep the torn-up cards somewhere. Incorporating a torn-up card or two in an artwork might add to the effect. (-8
I framed my finished board and I agree 100%.
I and the three other players signed the board with a silver pen, then I decorated some of the dead space on the map with character cards, objectives, game pieces, and, yes, *torn* cards which represented some of the most dramatic moments of the campaign.
The only "don't" I'd suggest is giving puerile names or easy pop culture reference labels to characters and diseases. Make the game your own, make it clever, and make it unique.