It’s possible to tame the basilisk while invisible mounted on a Rock Drake. The basilisk will not be able to see nor aggro on you (when camo’d), but it will start targeting other dinos nearby. Clear the surroundings of dinos and drop the egg from YOUR inventory whilst MOUNTED near/on it. Do NOT drop the egg FROM the MOUNT, as the basilisk can’t eat it and you will need to pick it up to continue the taming process. Drop one egg at a time, one right after the last has been eaten. If the basilisk moves too far away, pick the egg up and drop near it again.