I cant speak for all fsdos but when I did my checkride I had to go out of district because my area did not have any available for the time I needed (i was a special case, got a letter of continuance for maintenance issues and then my fsdo inspector went on two weeks vacation and I was leaving the military and moving from the west to the east coast so they accomodated me by sending me out of district)

I was actually given a waiver number and a name and number to call for the checkride and as far as I knew there were two or three guys that had authorization to give the rides and the fsdo rotates one for each since they did not have any one who could do the rides at the fsdo. The way they made it sound is no one at all, not just available.

as for going out of district to get a dpe and not the fsdo it is next to impossible (but not impossible) They do not want people who live in texas to do all of their training and then fly to nevada because they can get a dpe so the end result of calling the XYZ states fsdo will be "here is the number to your local fsdo, give them a call and they can accomodate you" Trust me, I tried every state and district when it came down to me moving across country in one week and no checkride in sight just trying to get it done