Fili, why would you need ICSI if you and OH conceive easily? ICSI is normally only used when a man has a low sperm count, to maximise the number of good sperm available for the attempt. It does add about another £2,500 on to the bill IIRC.
For what its worth, I personally wouldn't go down the IVF route in your shoes at this stage, mainly because the whole process is incredibly stressful and expensive and not guaranteed to work first time or at all, and you have other avenues to explore. If you know that you ovulate, and everything else works, it is taking a risk to start inhaling and injecting large doses of hormones which could alter your natural balance for some time afterwards.
I would keep your appointment with Lesley Regan and see what she says about why you keep miscarrying. The only advantage which I can see of IVF is that you can screen the embryos for some (not all) chromosomal defects and only put back A grade ones. But you might still not achieve a pregnancy, and if the reason for your miscarriages is not exclusively a chromosomal issue, you might still go on to miscarry. Don't forget that the embryos are put back at a very early stage of development in IVF (usually at either 3 or 5 days post ovulation, when they are just a collection of around 8 cells or new blastocysts) If your issue is a poor implanatation for example, IVF would make no difference.
Hope you don't mind me speaking bluntly. I had one failed IVF attempt when trying to conceive my first, so I am very familiar with all it entails, and it is a long, hard and emotional process with actually a very small prospect of success despite what you might read. And for friends who have conceived this way, to miscarry after IVF seems to be much much harder than after a natural conception, and god knows that is hard enough, due to all that has been invested in the process and the fact that your hormones are completely screwed up from the drugs for a while anyway.
It is completely your choice but I just wanted to give a brutally honest opinion on it, for you to consider along with all the possible advantages of the process, so that if you do decide to do it, it is with eyes wide open.
Hugs