ATA will take all 135 guys with the appropriate credentials, medical, license, etc. ATA is about the only carrier that will take you unless you are on an approved list. You will need to call ATA and list the previous night, they don't like listing non-rev people during the day due to the high volume of calls that they get... ATA is a true class act when it comes to this, you won't have a problem. Sorry I don't have the non-rev number handy with me at the present time.
A few others have taken 135 guys who are not on the "magic list" at the captain's discretion but good luck on getting past the gate agent if your company is not on that airline's list...
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