I agree on the coparent counseling vs classes, although am concerned the judge shot you down on that one. Don't know if you'd get a different outcome requesting counseling...now made more difficult with mom not being local anymore. Fact is, with her move, you are moved away from participating in primary parenting...appt. making, etc. (I am curious though its off topic...on what grounds did the judge ok her move away with kids?)
Back to coparent counseling, say you end up in front of a judge again. I strongly recommend you do major homework FIRST. Find out from court house or local family law attorneys the list the court uses when recommending a coparent counselor. Don't just pick one out of the phone book. If your in a populated area...there are probably at least 3 or 4 counselors who this is what they do all day for a living, talk with parents who have high conflict, or cannot coparent. Get a good one (get a recommendation)...hopefully somewhere you and mom could meet in between your respective homes..(I know tricky, but you can do it) and THEN when your filing a motion or responding to one...put that name down and request coparent counseling. Spend a paragragh outlining how your attempts to coparent keep failing, and you are desperate to be able to communicate with mom around all aspects of raising the children.
Sorry to go on so long...my exp. is this is the only inroad I have made to some level of respectful coparenting with my ex. Its hard work, and in the past it hasn't always helped at all. But get a good one (alas the hw above) who will track agreements you make together, and steer towards making coparenting agreements in the first place...its the only advice I have other than keep showing up, let the small stuff go (dental thing...document it but its small), document everything.
Last but not least, my understanding is IF a judge orders coparent counseling, and mom blows it off, heck yes she is in contempt. She may get a slap on the wrist, and, that time can also be used to re-request coparent counseling...have it ordered it begins by a certain date...if she still blows it off a couple of times, go back to court.
Good luck. I know this isn't helpful as you already got shot down. I see you are trying hard to be a part of your childrens' lives and I wish you well. Don't give up, but also don't let it get to you.