Sorry to hear that
.
Would looking further afield help? The Lincoln area doesn't exactly have many jobs going at the best of times... it's not exactly a hub for IT jobs.
The only reason I work in Lincolnshire is because I work with the military and got posted here. If I didn't work there, there would be no opportunities for me in Lincolnshire at all (in physics/geophysics/computing/meteorology) - I'd probably have to go to a much larger city to find work.
Can't remember where you've said you have applied.... have you looked in places like Doncaster, Sheffield, Nottingham, Manchester, Leeds, Hull (though not sure Hull has many opportunities either)?
Would a move to a different town/city be feasible, or do you need to stay in your current town?
You may find that lack of UK work experience isn't helping you - is there any way to get ANY job, even if it's working in a shop or something, just to get you started in the UK? I spent 10 years working in retail before I started my career in science... to get me through my degrees and for 2 years while looking for graduate jobs.