My recommendation is to make a firm appointment with the neuropsych, no matter how far out, and then ask that they put your dd on a waiting list to call in case of a cancellation. My gut feeling is that the speech/hearing eval might give you some helpful information, but you'd still be left with more questions.
Our youngest dd struggled with reading when she started school - she still does some of the things you've mentioned above. When we realized she needed an eval, we'd already been through neuropsych evals for my older two children (one 2e, one who we found out had vision issues) and to be honest, I didn't feel like paying the $ and going through an eval again with the same provider. So I opted for taking dd to a former school district sped employee who does educational testing for our local homeschooling community. She was able to give dd a full set of ability/achievement testing and a dyslexia screen for much less $ than the neuropsych eval and we came away from the testing with a good idea of the specific skill that was a challenge for dd, a long list of recommendations for accommodations and a plan to remediate reading skills. We didn't, however, have a diagnosis or a long-term plan or any of the typical follow-up testing that a neuropsych provides to determine the root cause of the challenge. And that was ok for dd - for about a year... and then we were back to the drawing board once more, needing more of an idea of what was really going on as well as documentation we could take to school that could be used for advocating. We did another round of testing with a reading specialist who was *terrific* - she gave dd just about every type of reading test under the sun and again verified both that dd's challenge was what the original tester had found, and also gave us a detailed game plan for remediation. That was all good - and still is - dd has worked with a tutor through this reading specialist for awhile and is making wonderful progress - which is great! But... once we had that reading eval, we started wondering and needing to know - how is the skill deficit that's impacting dd's reading also impacting other areas of academics or life skills? So... we did eventually end up taking dd in for neuropsych testing. Which is my round-about long way of saying - don't try to piece-meal testing here and there to get a little bit of info where you can to save time or $. The neuropsych testing (for us) has been worth both wait time and $. Once it's done, the neuropsych may in fact send you back for testing by an SLP or whoever, or if you want to do both, you could go ahead and have the SLP testing now and you'll have the results to share with the neuropsych. The thing I wouldn't do is to drop the neuropsych.
polarbear
ps - their is one scenario in which I'd consider dropping the neuropsych - if you want to test through your school district. They should do this if you request it, but we had a difficult time advocating to have our ds evaluated simply due to his high achievement that was related to high ability. We weren't able to successfully advocate for school district testing until *after* we already had testing and a report from the private neuropsych. The neuropsych testing gave us the data to show the school to prove that ds did indeed have a challenge.
