I don't think you will have much luck finding a short term paid EMT-B position. You might be able to find a smaller department that would let you work on a short term basis as a volunteer. See
http://www.ems.alaska.gov/EMS/EMS_directory.htm for a list of departments. A word about levels of training. An EMT-B is called an "EMT-1" up here. An Alaskan EMT-2 would be an EMT-I anywhere else. See
http://www.ems.alaska.gov/EMS/Levels.htm for more information.
Anchorage and a few of the larger communites have full time paid EMS staff, typically at the MICP level. Those paid spots are hard to get. Some of the smaller communites have a mix of paid and volunteer. In that case the paid staff are EMT-3 or MICP, and are often responsible for training the volunteers. The smallest communites are usually all volunteer, and are often tiny villages in remote locations. Many of the remote villages are largely Alaska Native people. The smaller all volunteer departments have a hard time maintaining enough people with higher levels of training. Some are First Responder only, some are BLS, some are BLS/ALS depending on who is available to handle the call. Except in the larger communities, long transport times and/or air evacuation are routine. Just the facts of life up here.
I'm not sure what generalizations I can make about "living conditions and quality of life". Alaska is a vast place, more than twice the land area of Texas. Because of the way the state is spread out (the SE Panhandle, the Alaska Penninsula and Aleutian Islands), it seems even bigger than the area alone would suggest. The lifestyle can be very different depending on where you are. Also (needless to say) there is a huge difference between winter and summer. In winter we have extremely cold and dry, cold and extremely wet.....and everthing in between.
People seem to either love Alaska and never leave, or they hate it and can't wait to get on the next plane out