There's a common confusion that TPS EAD allows F-1 student to work off campus and/or more than 20 hours/week. It doesn't. Even though you are approved for TPS EAD, all rules and regulations of F-1 visa still apply. If you don't follow them, you might lose your F-1 status. Except CPT and OPT, the only way F-1 students can work off campus and/or more than 20 hours/week without violating their status is by getting permission from USCIS under economic hardship.

You can certainly seek off-campus employment using TPS EAD, and employers might hire you but if your DSO finds out, they'll most likely terminate your F-1 which means, if you want to go back to F-1, you're talking about travelling outside US and applying for a brand new F-1, just like you did the first time.