Abandon all hope, ye who would want to import from an EIN to a SSN.

Give up the import. Print the K-1 and manually enter the damn thing, just like the other very knowledgeable users have told you previously. 

Alternatively have the SMLLC give the SSN to the partnership. 

I, too have never seen a K-1 carry to a Schedule C. I have seen portions of a K-1 carry to SE. There truly is much to ponder here, but I fear I have not enough information to fully grasp the gravity of it.