I think making up any random name would be better than just referring to it as "here" the whole time... maybe something somewhat symbolic like Dolores or Dolor (which means sorrow/pain in spanish). 

Or even just something simple and generic like Greenville, Bristol, Centerville, Fairview, Salem or Ashland (literally some of the most common names for cities and towns in America). Those are just two suggestions off the top of my head.