Seconding the above recommendation. I went with Dr. Fischer.
I chose my surgeon because she's been doing this a long time and has excellent results with every procedure type. We had a really frank discussion during my consult about what my options were. She was willing to do any procedure I wanted, though she was adamant that it would take multiple revisions to get me something she would be proud of if I went with peri. Had I been open to having it done in multiple steps, she was down to do it.
So no, it's not unheard of. Ultimately I asked her what she thought would give me the best results and she said she was positive she could get it perfect in one go with a DI. That's what I went with. I didn't have a lot of time to work with and I don't care about scarring, so it made the most sense for me. I'd strongly recommend having similar conversations with whoever you're considering. And as far as personal recommendations go, I can't say enough about Dr. Fischer and her staff. Amazing experience.