Hi,
There are many data recovery options out there, if search "unformat cd card" in Google you'll get quite a few. Now if you wrote absolutely NOTHING in the card after formatting it a software like iCare should be able to recover whatever files were in the card. Try to "repeat the accident" with different CF card by recording any raw footage in it, formatting that card, and trying to recover the files with this software. You can repeat the process with different apps until you find one that works correctly and then use it to recover the CF card with the data you originally lost.