Hi TXBombshell- Welcome. Many of us have been through this before. Have you talked with the prinicpal of the school and asked if the school would be willing to do any testing? Even though the teacher thinks your DD is well placed, maybe you can make more headway with the principal, and maybe the high OLSAT would trigger some free additional testing by the school? Our DS's school ended up doing their own achievement testing when we brought in SB-V scores from a private tester.
I would be a little wary of a psychologist who is overly confident that they can find a right school fit for your kiddo based on 2 tests, especially if the recommendation turns out to be the private schools that recommend this particular tester. Not saying that there's anything to be concerned about at this point, just keep it in mind. There are many things to consider besides test scores as to what school will fit your kid (e.g., personality type). And many times, what works now might not work a year, or even 6 months, down the line for some GT kids. Plan for lots of advocacy, but it gets easier the more you do.
As for skipping, search for posts on the Iowa Acceleration Scale. Very useful, but it will say that 2 kids in the same grade is a deal breaker (ignored by some parents on this site who have had success with siblings in the same grade).
I know it's scary at first, but hopefully you'll find lots of support here and elsewhere.

By the way � how do you �block quote" content from the previous post to include in a reply?

If you click "quote" instead of reply, the original poster's message will come up with brackets showing the codes for quoting. You can delete out all the stuff you don't want to quote. And if you can remember the style, you can just type in that bracketed coding yourself.