As someone who has posted quite a bit about false GPs, I'd like to add my agreement to all the other replies here. I can't see anything wrong with intercepting at 3000ft outside the IAF, which would imply that you're at a good distance out and intercepting from below.
Opinions vary on where the first false GP is found. I expect it will vary with equipment and location, but as far as I can make out the lowest you could expect is at about 6 or 6.5 degrees. Roughly 6000ft at 10nm, compared with your standard 3 degree/ 3000ft at 10nm.