Ah! Good point!
Like me then you need somebody to go the NLI and look up the parish records. It may be worth checking with your local LDS Family Centre, although as far as I know they don't have the Cashel + Emly parish register microfilms.
Anybody (whether they be an individual, a proxy or professional researcher), can view the microfilmed parish registers (filmed in the 1950s/1960s) at the NLI for free. See the Association of Professional Genealogists in Ireland website here
http://www.apgi.ie/News2008.html and scroll down to the entry dated 27th May 2008 - it explains the history of the whole thing.
You are therefore
not obliged to use TFHR,
despite what the TFHR and the Archdiocese websites say.
The best option would be a researcher in Ireland with the same interest. Unfortunately I haven't come across any local Fanning researchers.
If there's just one or two entries you'd like to check it may me worth putting a lookup request here (I was very lucky - somebody from RootsChat looked up my two records for me at the NLI).
Other than that, I guess it's professional researchers. I've never used researchers, and I have no idea of their fees. Hopefully other RootsChatters can provide personal recommendations?
Personally, I'm putting my Cashel + Emly research on the back burner for now.
Good luck with your research,
Pete