You do not need to have an LMO, you can apply, being on any work permit, whether it's based on a LMO or not.
I'm on a ICE visa (no LMO) and have applied for PNP.
Good to know, for some reason I've been under the impression that CIC would do their own background checks.
Can you obtain the RCMP clearance at any police station?
I don't think you can apply for another ICE, it's a maximum of 2 years, but maybe your employer can sponsor you or get you another work permit, talk to them..
Why would they even ask for a RCMP clearance? I thought you'd only need police clearances from any country you lived in longer than 6 months, excluding Canada. When did that change and did they request RCMP clearance along with your other criminal record checks?