I agree appealing your IFR is pointless - sounds like they have made the correct decision according to their policy. It sucks but you just have to put it behind you and focus on what to do next.
I would definitely contact Access Fertility - they have a main contact number where they will go over your case and tell you there and then if you would qualify, or ask you to send further info so they can review it. Don't just take your consultants word for it though - make sure you get a definitive answer from them direct.
It's also worth asking individual clinics if they offer any packages. I don't qualify for Access Fertility and so I'm doing 'natural modified IVF' at the moment, and bought a package of 3 cycles form my clinic (Care Fertility) for £10k. You pay for drugs on top of this, which has cost about £3k over 3 cycles. There's no refund if it works first time, but at least you're getting 3 goes and it helps you plan financially. Might be worth looking at.
As another poster said, natural IVF might be an option seeing as it doesn't sound like you're a good responder to stims anyway. You should research it. It might be a false economy though because although it's cheaper you may end up needing more goes.
Then you have clincis abroad, which lots of other posters have recommended too.
Whatever you do you'er going to have to find a big sum of money to cover it and unfortunately if you want to act quickly you need to just accept that and start getting it together - remortgage, look at credit cards and loans, downsize cars, sell stuff, give up luxuries. I also found ways to earn more money on the side and so did my DH - I took a job one night a week in a pub, I started renting out my car because I don't use it much (I made £2k in a year doing this - look at HiyaCar if you're interested), I used a site called Freelancer and did admin work on the side - audio typing and stuff. It was all a pain and took time and energy but it helped us a lot financially. Good luck.