If your score is 511, you should get an ITA at some point this year.
For OINP, if employer is will to support nomination then go that route.
LMIA is not really an option if score is 511 and employer has to go through recruitment efforts for your job. For LMIA and supporting your PR application, they will be posting your job on job sites. So will need to post the median wage not for the NOC, but LMIA requirements. The wage is fine. They need to show their recruitment efforts in hiring a Canadian or PR.
https://www.canada.ca/en/employment-social-development/services/foreign-workers/permanent.html