I am in the process of finding a job, possibly Allina (Mercy), possibly North Memorial. Currently, your chances of finding a job in a specialized area (L&D) as a new grad, especially on a part-time basis are pretty poor. I would plan on .8 to full time for the first year or so, and possibly consider the need to start out on a more generalized med-surg floor.
Keep in mind, though, that your experience (and anyone else's) may be different than mine. I currently am an RN-ADN new grad with over 15 years of experience in the dental assisting field and cannot get even a call back from one of the bigger hospital congolmerates.
(I am presuming because of new grad status and two year degree, as references and GPA, etc. are impeccable.)
Good-luck to you - hope this information helped.