I think the most important thing is that they listen and offer a variety of options. It seems sometimes docs have an attachment to certain treatments be they blocks, SCS or certain meds. Many will not offer infusions which can be a nice adjunct if other options aren't working. (If they don't do them, do they work with another practice that does?) Do they give LDN? You want to be able to try different things, sometimes getting creative, yet always with a method so you know what was making a difference.
The other important thing is that they have an interest in helping you increase function as opposed to just reducing pain. You deserve both!
Some PM, mine included, will either do or refer out for nerve conduction studies. We don't all need one but I appreciate a doc who is interested in whether there is obvious damage. It can change the approach in certain cases and is an obvious rule out with trauma or surgical history.
Lastly, if they shrug about your diagnosis or haven't treated much CRPS run the other way!
Good luck!