Things you can do which will allow you to fly safely.
1. Walk directly to the check in counter. No one will ask u.
2. Ask you friend to take a pic from his mobile of Credit card front and back and strike away the cvv and ask him to mms or email u the pic.
3. Repeat step 2 by asking ur friend...
more... to take a print out, sign it and again take a pic to email u.
If you are still worried, do what ur dil says.