Believe it or not there is FI work out there!! i know this for a fact..
I talked to an FI(I) a little while ago who told me very sensibly that there would never be a job offer made before they had a chance to look at your skill at teaching flying.. Think about it folks; if you were in the schools shoes wouldnt you want to see a prospective employee teach (albeit on the FI course) before offering them a job.. Be in no doubt if you get your FI rating and apply at another school where they dont know you; you will generally be asked to "teach" the CFI a lesson before an offer of employment is made..
so ask yourself this question.. Do i have the personality and ability to teach?? If yes go for it. I did and half way through my FIC i was told "we have no positions here but i know someone who runs another school and wants you to work there". This is how it happens..