Stealing an egg is easiest when two people go one carries the other on the mount. If things get bad the carried person throws the egg on the flying mount and lets go...the wyverns will still chase him and not the person on the mount now with the egg.
The best way to fight alpha wyverns is with a tamed fire wyvern. Because all alphas are fire type, they cannot hurt you with their breath attack (although you can't hurt them with it either) but melee does much more damage anyways
Having a couple expendable vultures on aggo seems to help with wyverns attacking your base. The wyvern chases them up high enough that they eventually despawn. Seems the vulture always attacking from above keeps them flying higher and higher. This tactic has saved my base twice from rogue wyverns.
It's important to note that Wyverns of the same elemental type cannot damage or be damaged by the same elemental breath attack, so for instance a fire wyvern is your best bet when alpha wyvern hunting, as it cannot be damaged by its fire breath.
This applies to Ragnarok only:
On the far west side of the Wyvern Trench there are usually an egg or two in the first couple of holes in the wall.
The coordinates (47.0, 51.4) (42.7, 55.4) (44.4, 58.8) and (33.5, 66.8) contain Ice Wyvern eggs. I can confirm the first and last have eggs, while I have only heard that the other two contain them.
A 165 speed argy IS NOT NEARLY FAST ENOUGH to fly away from a wyvern. I tried it to see if I could maybe get them stuck and maneuver and escape but no don't do it. Listen to everyone else, 185 speed AT LEAST or else you will get butt raped
There's a tribe in my server called the 'Wyverious Defenders' they basically built there bases around the ragnarok wyvern trench while defending the eggs.....weird thing is that they kill all the wild wyvern?
With flier nerf, if not desperate for Wyvern Milk, high Health and Damage Argy to kill before taking eggs. High Health and Damage "Jara" works too (less overall compared to Argy, but agility and speed makes it easier to dodge and maneuver into its blind spots)
Be extremely cautious when you're attacking an ice Wyvern, their breath will slow you down, enabling them to keep you in place for long periods of time. If you're being attacked by an ice Wyvern, you're probably too cold to last long anyway. Ha. Good luck.