Shotgun or Sniper? or Offer all the things!!

I've looked at a few dozen properties in person in the last week and change, and a hundred or more online, and here's what I've seen; A lot of stuff that is almost a good enough deal to jump on.

That said, what do you do?  I know this is basic, I know this has probably been harped on (heard some mention of it on podcasts, folks having a lot of offers out), but do I make some offers, and see what sticks, or do I keep looking, hunting for something to pounce on?