Found four 2 off so far :s. EDIT: Months after. 150 tries. Still 2 off four very different ways. Tons of 4 off too. ...that's insane. EDIT: Beaten: 158 tries.
I arrived at 295 without any 4-offs, and it only took me around 20 tries, when I was constantly changing my path to explore for more possibilities. The final path is definitely unexpected as it apparently looks longer.