Just a few things to remember about left handed people when it comes to their "handicap" that effects gun search.
11% of people are left handed.
~4% of people are left handed and shoot left handed. (left eye dominant)
Now square those statistics with why people buy double rifles:
A.) Some people buy them as a useful tool that is also a gun that grows in value whether as a collectible or because replacement costs continue to climb.
B.) Some people buy one to use on one to two hunts knowing they'll be able to sell it for somewhere between a modest loss or a modest gain in value.
In light of all the above, a left handed double rifle is nearly impossible to sell. Very few people want them compared to right-handed variety. The user is a rare bird and the buyer knows they are going to be stuck with the thing when they are done with it, unable to sell it easily at any price.
So in conclusion, the world is your oyster if you're patient. Most lefty premium quality custom rifles, doubles of all sorts included, sell for insultingly low prices. If the double rifle has other undesirable features associated with it the prices will plummet even further such as: extractors, single trigger, over/under dangerous game caliber, oversized beavertail forend, short stocked, rimless dangerous game caliber, and poorly leftied conversions such as unbent righty triggers or a righty trigger guard remaining.
More than half the people I know that purchased double rifles sell them within 5-7 years. Either they regret the low quality one they purchased, or age out of DG hunting, or they find they are more capable with a magazine rifle, or they dislike the poor regulation of theirs. Whatever the case, these are righty guns and they move on down the river to a new buyer with some degree of liquidity. A lefty gun is totally illiquid so a lefty buyer can wield tremendous negotiating power.
If I were a lefty and wanted a good one, I assure you I'd pay barely over $10k by throwing out such offers to about 20 lefty sellers asking $40k for their rifles. Eventually, somebody will take your offer while the remaining 19 just languish for years on the market. Pick wisely, the world is your lefty oyster.