The earlier in the apocalypse, the more panicking humans running around, so you’re absolutely correct there. Unfortunately, depending on where you live and how early you realize what’s happening, the roads might be utterly jammed with no hope of getting away from population centers. The bike would be less of a tank, but you’ll almost certainly make it farther - but is that any good? Unless you’re confident in your ability to go full bear grylls, it might be best to just hunker down and make as little noise as possible for that initial pandemonium.

I’d probably stay clear of basically anywhere that you’d wanna go in an apocalypse for those 72 hours, because everybody else has the same idea. Find somewhere with a second story, block or preferably destroy the staircase, and stay as quiet as possible while scavenging what you can.