Applying for H1B exempt from USA while on L2 Visa

Hi - I currently work for an employer in India. I did work for the same employer in US from 2013-2016 on H1B, which has currently expired(Expired on Feb 2017). My husband works out of US on L1 and should be processing my L2 visa soon. I have to resign my job and travel as a dependent. Is it possible for me if I find another employer and get my H1b visa extended for the reminder years (2-3 yrs) filing as an H1b exempt application? or is it advisable to get a L2 EAD for any employer to hire?

Why would you want to choose H-1B when L-2 EAD gives you so much flexibility?