That is the best route Fotios. It is gonna be a win win situation for you, you just need to spare some time.
you can brush up your soldering, fault finding, components identification skills by playing with broken PCB/boards. You can shadow engineers there and obviously learn about medical devices. if they are willing then you can have some 'hands on' on some low risk equipment.
Leeds is looking for tech. as well so you never know. It's a teaching hospital so they should easily entertain you.
Meanwhile contact TBS GB and Keyhealth Solutions as well, they offer unpaid trainee position to right candidate. Best of luck for your search

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