Ugh. I'm so sorry, moomin. I think that you already plan to, but please trust your gut here.
1. Seriously?? Isn't she just using a more sophisticated method of avoidance, when you get right down to it?? How do they not see that?
2. Whoah. It's hard for me to even process this.
3. Well, sure. Of course. I fail to see what use this opinion is under the circumstances, however.
4. Really? Well, then what
is behind this?? Oh, nevermind. Clearly this is someone who doesn't really want to go where the evidence is leading.

I see little harm in attempting a full Eval for an IEP-- that doesn't
obligate you to pursue enrollment if you are ultimately unhappy with the placement options available, but it might be a route to any services on an a la carte basis if you opt to homeschool. It's also true that you should gain access to professionals who have NOT seen your DD yet if you go that route. Clearly the ones that she has seen don't know what to make of her, so maybe that will give you traction. Maybe.
I can also see the point that homeschooling is effectively the
same solution that your DD is implementing on a daily basis within the current setting, at least in some ways.
For that reason, I think that it might be wise to consider whether or not homeschooling is the best choice PRIOR to actually sending her into the classroom environment. That way it isn't
her solution-- it's yours. The educator side of things may see little difference there, but if you're right about her manipulation of the situation, I think that there is a HUGE difference between "my parents opted for homeschooling" and "I was a problem in school and so now I'm homeschooled."