Yes, a F&F lump sum IVA is possible and £10k is not unheard of for a debt of that level -- but, of course, it will be down to the creditors to decide. I would suggest you have a word with a couple of firms and would advise tending towards the small / medium firms who will treat you as an individual, rather than a grain of sand on a very large beach. We have a couple on here who post regularly as well as the forum sponsors themselves, Vincent Bond.
The process normally takes about 8 weeks to set up the arrangement, then a couple of months post payment to sort everything out. Your credit record, though, will be shot for 6 years!
My opinions are merely that .. opinions based on experience. Always seek professional advice.
IVA Completed 23rd July 2013 .... C.C. 10th January 2014