Assuming you have a full-time MBA from a top-ranking program, the Consultant (post-MBA) role would be the right one to target. With <1 year of consulting experience at a boutique firm, you won't have a case for a more senior role.
I would encourage you to take the following steps:
- Draft a compelling resume/CV
- Network with consultants and recruiting team in target office
- Secure a referral and ask your point of contact for leveling info
- Start prepping for case interviews as soon as you can if it's looking like a viable option for you -- don't want to land an interview and be unprepared
If you need help navigating the process, don't hesitate to reach out!