Couple of suggestions.
LPMI (lender paid MI) is really BPMI (borrower paid MI) because its built into the rate. You're paying for it, not the lender. It's cheaper in the long run to purchase a Single Premium PMI contract than to take the LPMI offers out there. Most, if not all lenders have LPMI 30 fixed, but rarely LPMI ARM programs. ARM programs don't always have big rebates to pay for the Single Premium expense, but it depends on the ARM program you're considering.
The best way to check on the cost of a Single Premium policy is to look up the cost on a PMI company website. I use
www.radian.biz when exploring this option.
Curious why you'd want LPMI or Single Premium when some lenders can structure 80/5/15's. The second loans tend to be higher rate loans but not much more in the grand scheme of things. If it's a ratio, property type, or FICO issue, then I can understand why that won't work.