I have seen 3 dogs in 80 runs of byakko which is the next wolf I want. Haven't got a clear on shinryu so cant speak of that one. I am wanting to get at least 99 totems so I can exchange when available or farm more if I feel like it.

It took me around 130 runs of Lakshmi for that wolf before it could be exchangable. I think less than 30 for Susano after the change to drop rate. It's just all rng. Some people are luckier than others.