Looking for a "Wolf Shaman"-style class

[Garfunion]

One of my players was very into her 4th edition Druid. The ability to go in and out of “beast form” at will was fun for her however, 5e is a bit tricky.

First I gave her the ability to cosmetically transform into a beast no stat changes no size changes she simply look like an beast.
Second I chose the barbarian(totem) class using rage as a dire beast form.
Then she would choose totems that were appropriate for her ideal beast form.

For your case when it comes to summoning wolves. Replace the level 10 ability with summon beast.