I've applied as a non-resident for 14 yrs without getting drawn. I bear hunt up there every year and have talked to residents who have applied for more years than that unsuccessfully .
my hunting buddy (a maine resident) has been drawn 2 times since it started, his son was drawn this year after 6 years---they are going to float the Allagash river in a freighter canoe
his other son has not been drawn after 8 yrs
his hunts have been DIY