Immigration to US on L1A

Hi, I'm currently working on L1A visa for a repute IT firm in US. I currently stay in OH.
I did bachelor in engineering, possess +18 yrs of IT exp# and came to US in Apr 2016. I stay with my spouse who possess Masters in Engineering and has 15+ years exp# in teaching university students. She has written couple of international papers. She has EAD however currently not working.

I asked my employer to see if they can help in GC, but didn't got a positive response. Seeking suggestions from you on what could be the ways we can move forward for a permanent stay in US?