I wouldn't make any assumptions about how well you'll do in law school, especially while working full-time, on the basis of your LSAT score.
What is your LSAT score and LSAC gpa?
If your numbers are solid, you should be able to get into a better school. If I were you, I would stick with the engineering career and work on relocating your job to an area where you have more options for part-time law school. Then I would reapply and try to get a scholarship, maybe even retaking the LSAT if you think you can score higher the second time.
LSAT scores are officially valid for 5 years, but some schools will not accept scores older than 3 years. Even if you don't want to retake, you have some time to explore other options and reapply later.