Well, I don't know where it is but I posted with other people quite a bit of info in a thread just this year. It may be in a thread that appears at first to be more about reliability or something like buying a used one. You're best bet is to call several different dealers and ask what they have to offer. They are not all the same, by huge margin as I found out.
In the Seattle area, one dealer best price was 2x a different dealer who sold a better coverage after market warranty with 0$ deductible. Call out of your area too. The key is definitely do it before yours is expired. At the age of yours though, it may be fairly expensive.
You could just create a savings fund for it starting with the cost of a high coverage warranty, say at least $5000, then add $100/month to it.
This is essentially gambling. When you buy the warranty, you commit to that loss up front on speculation that you'd have to spend more on your own without it, but you have zero chance left to spend less. By creating a fund you hedge against the odds that not all lr3 need so much $ in repairs.
You probably can't find a warranty to cover past 100,000 miles, or not by much. Depending on your annual mileage, you could blow through a 27,000 mile extension of coverage pretty quickly like 1 yr, or slowly like maybe 3 years ?
Generally the less cycles a vehicle goes through, the more mileage you can go between failures. Cross country trips for example vs daily 20 mile commuting or towing vs empty/no heavy parts added on.
Lastly, a deductible of just $100 in my case would have resulted in well over $1500 additional cost to me over the 4 yrs/50,000 extended that I had on the lr3. So, I advise anyone to always choose the 0$ deductible like I did.
If I had your vehicle and the warranty would cost over $4000 but only cover 27k, I'd run through that in 1.5 years, maybe 2 at most, so I'd opt for the self funded repair account instead. Especially if you have any debt over 7% interest. $5000 not spent on the warranty can either save you a lot of interest $ on other debts or make you a decent return invested in a growth position.
Another way to think about the $ spent now on warranties vs later "if" it needs a repair is that under a warranty, while the vehicle sits still you're actually burning through that money spent. It ticks away over time regardless of your mileage driven whereas by saving $ yourself for repairs, while it sits it is prolonging the next repair interval.
Philosophically speaking, if one cannot afford the unexpected expensive repair, whether it be to a car, house, etc, then they are in fact overextended on said item. Therefor the person who cannot really afford the odd high cost repair, should not put themselves at risk by trying to own a vehicle that could cost beyond their means to maintain.
If I haven't talked you out of it yet

, for sake of knowledge alone try comparing what's offered at the couple local dealers here:
Bellevue/Lynnwood Land Rover, $$$$ vs Tacoma Land Rover is where I found the much better deal.