I would like you to correct if 'send me it' is grammatically correct
According to Wikipedia (and my own sensibility),
in some dialects the former [using two objects sequentially with no preposition, as in "He gave me the ball"] is considered ungrammatical, or at least unnatural-sounding, when both objects are pronouns (as in "He gave me it").
- from Wikipedia's "Ditransitive Verb" page
So, if you want to avoid the possibility that some reader will believe that you have made a mistake, or that the usage will "stick out" and break the reader's flow, you should stick with Send it to me, which uses the form that the same page mentions "is grammatically correct in every case".