I’ll try to say this without coming off as mean… But you’re going to be stuck with this car for the remainder of your lease duration unless you come up with a better incentive. Nobody is going to take over a $56k 3-series for $519 a month with <10k miles per year unless you push a fat incentive. Giving some extra dollars to tack on more miles isn’t really an incentive – it’s you compensating for over-driving.
While you may feel like you’ve got a great deal here (and that’s great because we should all feel that way when we lease cars), the lack of interest certainly suggests otherwise.
It seems like you’re tripping over dollars to save pennies. The longer this sits, the further in the hole you go… I think you’re in need of a sucker to take this lease over, but you would be hard pressed to find one on LH. People know better than to take over a BMW lease at 1% with under 10k miles/yr. So you either need to press a fat incentive here, or rely on something like Craigslist and hope someone unfamiliar with leasing takes this off your plate.
A suggestion, but maybe you forget about the MSD. Who’s going to mail you a check in 2 years when the lease is up? How will you enforce that anyways?
Scenario A
If you keep the car, you pay $11,937 roughly
($519 x 23 remaining months = $11,937) minus the returned MSD of $4200
Unknown figure is insurance costs for 2 years. Net Cost - $7737 + cost to insure car for 2 years.
Scenario B
If you let the car go, you save the aforementioned $7737 + cost to insure for 2 years
I would forget about the MSD which makes this instantly more attractive to any potential leaser and negotiate on miles instead of a transfer fee. Let them pay transfer fee, and you increase mileage up to 12k annually. Any amount you pay now is still money saved. See scenario A.
I think Scenario B is your best bet and your car will move. Unfortunately you are not really in a position of power. BMW’s are a dime a dozen and with a little research, someone could get a better deal on a brand new unit and not deal with the transfer of a used lease.
I think the starker reality is that this is, at best, an eh deal for a RWD 340i for the hackers community. Demo 340s were available for lower monthlies with MSDs last year and possibly still available for lower monthlies without MSDs. A full walk away from the MSDs might garner traction here to warrant a bite from the hacker crowd. Otherwise, I would recommend Craigslist and the like. Fwiw, not too long ago, one could get a $60k new AH3 for under $350/month with MSDs. Good luck!