Hi,
Unfortunately, it looks like LPHs are kind of not well represented as models right now. There is one older kit from Aroura in plastic for sale on eBay right now for a rediculous amount (over $500). Other than that I think you are probably left with looking at resin models, which can also get kind of pricey.
Doing a quick internet search there appears to be a company called Wave-Line that has a waterline version of the older LPHs and another called Iron Shipwrights that has a full-hull version of these ships, in resin, but looking at the Iron ShipWright site it looks like they are asking $430 for their kit, and I didn't see a price anywhere right now for the Wave Line kit.
Maybe you could search and see if there are any paper models out there, but other than that, I'm not sure that there is anything that may meet your needs at a reasonable price right now.
Pat
PS. Ooops, it looks like you already got some input, while I was typing up my post. Sorry about that