I don't have much tolerance for being on the tail end of a long que. I have been tested once, last year. Short que. Wouldn't let me back to work without a test. I pretty much knew at the time I and everyone else up and down the country tested that day would come back negative (intermittent low daily numbers at the time).
When something crops up and everyone rushes off to the drive throughs I wouldn't even bother going out. Even if I felt a bit ill I'd just hunker down at home, self isolate, and get on the phone and let someone in authority know the facts (whatever they are, plus too ill to sit in a car in a que for six hours) and let them come to me/organise something to get me tested smartish if they felt the need. If I'm not that ill I'd still isolate but wait a few days/a week to whenever the initial rush has passed.