I'm familiar with GC/FID, but not GC/FID tc. Could you please explain that method?
You have a wide range of substances you are trying to analyze. That seems to be the major issue. It is relatively easy to identify nitrogen, oxygen, and other low molecular weight gases using a molecular seive column and a thermal conductivity detector (TCD). This setup does not work as well for higher molecular weight compounds.
We used GC/MS (with an HP5 30 m microbore capillary column) for identification of the different molecules in oil and wax samples. It covered many of the same range of carbon numbers you are talking about. You could inject a standard known molecule and record its retention time and mass spectrum. The mass spectrum could be input into the instrument library for future identification. Having said that, many of the hydrocarbons are hard to differentiate unless you can find the molecular ion. In that case, retention time would be needed as well. That would also give you the hydrogen/carbon information you need. However, it would not detect gases like nitrogen.
The FID is a good all around detector that with the right column, might give you most of the information you need. You might contact the instrument manufacturers application department for further inforomation.
Multiple detectors, columns and injectors can be put on the same instrument, if you need to mix methods. This is a possible alternative.