You have done the exams so you may as well finish the flight training. There are avenues of flying to explore outside of the airlines. The only cadet type position for modular does seem to be Jet2's Pilot Apprentice Scheme. Even Wizz Air seem to be mainly recruiting integrated from Skyborne and L3.
So as a modular you will probably need to look for other avenues (turbo prop, Instructing). I know in 2019 modular started to gain even acceptance, and integrated training offers no real training value over modular.