I hate to be the bearer of bad news, but mandolins are expensive, especially F models. I think your best bet is to find a used A model from a major builder like Collings, Gibson, or Weber in the classifieds. I'm not sure how willing most people would be to ship overseas, however.
If you are dead set on getting an F style, I would look for a custom order with an up and coming builder (like Andy Poe, Andrew Mowry just to name a few). Their instruments look really nice and can be had for much less than $6,000.
Here is a link to a store on your side of the pond.The Acoustic Music Co. He has a pretty good selection of bluegrass mandolins made by American builders at a variety of prices.
Here are links to Mowry and Poe's websites. There are many other builders like them who would probably be in your price range, but I'll leave it up to others to name them.
Mowry Stringed Instruments
Poe Stringed Instruments
Heiden F-5 #110
GMC Terrain VIN 2GTEC13Z871107423
2007 Tempurpedic mattress
$1.35 in assorted change
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