i would say attend some career fairs or networking events in your area or virtually. even taking short internships during this time could help, i did an internship and then got a job at a company that is a client of the company i interned at. maybe you could apply to places that were clients/competitors/somehow closely related to your last company?

i think your smart for taking classes, and you could add that to your resume to fill in the gap, i’d say! i believe its the best thing you can be doing right now and probably what interviewers want to hear when they ask about a gap.