Stay optimistic and persevere

Our district didn't do them either, teachers and school admins have been brainwashed by the 'whole child' myth. DW and I had to educate the district and it took several frustrating months to get there.
Our DD was compliant like Dude's DD but displayed OE's at times due her intellectual development being out of synch with her peers. She wasn't interested in the Justin Bieber/Selena Gomez saga etc. preferring instead to talk about things like why Pluto isn't considered a planet anymore or Egyptology etc. Thisled to some girl bullying and social isolation which in turn exacerbated the OE's.
Overcoming the 'social maturity/whole child' nonsense along with its associated 'autotude' took several tries. At first, the school counsellor needed to be on board but she just wouldn't listen to reason or the weight of evidence that being held down actually makes social maturity worse. Luckily, DD's teachers were very supportive and we were able to leverage their influence with the principal (also the super because our district is small). In the end, it took a one on one walk through of the IOWA Scale with the district super to get the skip taken to the school board.
The really cool outcome is that the school board needed to vote on the skip but the the combination of DD's WISC/WJ III results AND the Iowa Scale were so convincing that the board passed not only the skip but a motion to adopt the IOWA Scale as the yardstick district wide to determine the appropriate steps for bright kids in the future as well!
So far, the skip is working DD is just giddy about school now - do not want to say too much for fear of jinxing her...
Yes, private testing is expensive but we have seen the results and they are worth tightening our belts a bit last year for sure. DD's 2nd grade teacher did a complete 180 when she saw those results - she went from thinking that we were THAT kind of parent to actually publicly stating to others that she understood why DD wasn't interested in extra work sheets when she finished work way before everyone else now!
It is also important to note that if you are in a large enough district with properly trained and motivated staff, differentiated instruction can often be provided effectively 'in grade' but our district is so tiny that a skip,was really the only option.