you can write a formal letter authorizin ur family members to use your credit card for purchasing the tickets.
In other words, you can write that you are purchasing tickets on their behalf.
Make sure the letter contains:
Name of the passengers.
Passport Number of the passengers.
ticket details.
Name of the card holder (you?)
Passport number of the card holder.
In addition to the above u need to attach a copy of your credit card. both sides, front and back, but make sure to black out the 3 digit security code at the back.
this is how i did for my brother. it shud work