Orthodontist in Adelaide - Looking for a Recommendation

I've just been quoted for $7800 from an orthodontist in Adelaide's eastern suburbs for fixed metal braces for my 13 year old child.

The price includes 2 sets of retainers and finishing wires.

My child has one tooth that hasn't come down yet. It's lodged in the gum so evidently may need an oral surgeon to do a procedure mid-way through the braces treatment. The oral surgeon's costs are extra, as you'd expect.

I've got orthodontic cover with BUPA so they're going to cover 2k if the claims are spread over 3 years ($700 for the first 2 years then $600 in the third). This is obviously great, but keen to hear if anyone knows an orthodontist in Adelaide who is cheaper and still competent.

I've shopped around a bit and been quoted:
-$7500 another orthodontist in the east
-$6500-$8000 (pending x-ray examination etc) another orthodontist in the east
-$5900 (pending x-ray examination etc) an orthodontist in the inner south

Thanks in advance.