LMI is definitely pricing and my calculators are suggesting between $4,500 to $6,600 (most are around $5k).
The real question however is finding the right lender who will give you the money under the circumstances you require at 95%. This is right at the pointy end and some lenders can have some very quirky policies in this domain.
If you can find another $10k to put into the deal, the LMI costs will halve. You'll also get better rates and more favorable lending criteria.