Maybe best would be to have a Skype some time so I can tell you what I know but let me tell you few things.
ICT - if possible avoid it. For example in first round there was more then 800 applications and only small number is funded. This is why we didn't get funds even if we had score above threshold. There is always someone with better score and I think only 10 or 20 projects are funded in each call. For example in low carbon there was about 50 applications in total and now you understand why you should avoid ICT. it is just too crowded.
low carbon - I think you have to talk to someone that is familiar with this but I am not sure if you can make your case for low carbon. I think they think about products which contribute actively to reducing carbon footprint like more efficient technologies in heating, cooling or industry etc. But I say you should try to push it here because you can always push in in ICT but this is too crowded call. Now you understand the logic, try to find business case for you that is not ICT within H2020. For example you said that you solution can be good for education as it drastically reducing cost of computers. Is there any call mentioning education etc...
I think you cant write application yourself as you are not good in all aspects that are important for application to be successful. Not only you have to be good in areas where you are expected to be good (like technology, business model, competitions etc) but also in areas which are difficult to understand from your point of view like EU policies etc...