Not sure about Man Int'l Fuji, but if a Seneca, Aztec, 310, 303 or similar size twin Barton can accomadate (621M grass on 27L) Closer to City Centre too. Charges are here:
http://www.bartonaerodrome.co.uk/dow...arges_2007.pdf
One word of advice if you do though, hold the nose back on landing cos its far from the flattest of strips, lots of bumps. Will be easier to get in and out off traffic wise. If your twin needs more take off and landing distance look at Woodford too. Less traffic and probably cheaper too. BaE don't have anywhere near the traffic and depending on where your going taxi will be similar costs too.
Edit: Woodford would need to order a taxi in advance.
Manchester Int'l think for GA its compulsary handly through Northern Executive Aviation (who have just been taken over by Ocean Sky) so costs will be alot. You can confirm tomorrow but I'd anticipate costs of £150 plus because there is a take off fee.