How does one get Aela to offer to look for more of the Totems? I've been doing animal extermination quests from her but I'm getting nothing. I got the thigh bone totem so far...

It's also been a while since I got the first totem.

Just later on try the other guys to get a chance at another quicker.

After I did the third quest, she had another totem hunt.

Also, do the other companions have special quests? Farkas giddily wanted to kill a dragon so I gave him that satisfaction. Does he have any others? Does Vilkas have a special quest? I'm aware of the purification quests for the Bros, so disregard them.

Idk i havent gotten much game time(vacation). But you should just keep doing the quests to find out the special ones.