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Finance looks to be c.£9k and a MT09 / Tracer seems to be c.£7k used low miles. Bit more work hunting though.
It'd be harder to negotiate using a credit card, but you could probably do a big chunk of that on a couple of 0% cards over 2yrs to free up the cash to put it to better use.
Like this: http://www.ebay.co.uk/itm/Yamaha-MT-09-Low-Mileage-Standard-Condition-ABS-/192154555808?hash=item2cbd4dd5a0:g:Z0oAAOSwAANY68ua
plus Brum is quick by train and who doesn't love the M40 :0Or else the trendy summer option with just 65 miles for just over £6k:
(has a belt drive, and nothing is more practical than a belt drive)
The Bandit wasn't a serious suggestion for you ;) Although I took a newer "s" for a test ride and can see why so many liked them.
Get the rational for finance when rates are so low, but I wouldn't write off used on reliability. I found three MT07 with really low miles for around £4.5-5k. One literally had under 500 miles another was a spotless garaged/sunny day ride.
XRS09?
the exact opposite of a Tiger