You'd need planning permission to erect some wifi-extenders onto some something so the wireless would stretch far enough, you'd need to buy the wireless range extenders to add onto your existing wifi.
You'd also need to secure your wireless network to stop others from using it.
A Mile is a pretty hefty distance for wifi. I think that you may be better off over the internet as the signal strength / quality over the mile would deteriorate, even with extenders / boosters.
As a comparison I googled Wi-Fi 1 mile and came up with
http://news.bbc.co.uk/1/hi/technology/6577307.stm
For 1 SQUARE mile they needed 127 nodes so square root that to get 1 mile (I think, my maths is a bit dodgy here. And that gives you just over 11 extenders / boosters.
Of course, this is highly speculative. Personally, i'd keep using the internet.