Instead of considering this a misfortune, think of it as a stroke of great luck. The very best employers & jobs have no connection to LI, and you'll now be forced to go for those.
Depending on which country you're in, there're likely one or more recruiting agencies and/or "neo-recruiting-platforms" active in your market. Not being represented on LinkedIn should not be a problem with a decent one. Look around and try out a few.