I do not think you can apply yourself (unless it is one of those NIW cases). A lawyer can start the process on behalf of your employer where you will be the beneficiary.

An experienced lawyer would be likely to have a good idea about the prevailing wages for the location and the job. If your wage does not qualify for EB2, you could also do EB3. I think for Nepal, the processing time is same for both EB2 and EB3.