Don't know what life is like with AMR out there because I don't work for them.
What I do know is that they are present on all the Islands.
They have the 911 contract for Maui and Kauai counties. However, these counties are very tough to get into. Hear it's a great gig and people don't leave their positions very often.
Oahu or the Big Island is where you can probably get in, but you wouldn't be doing 911 very often/if at all. Oahu is handled by Honolulu EMS and BI is handled by the FD. I hear that if you put some years in on Oahu you have a shot at picking up some shifts at the other more desirable AMR locations.