Here's a suggestion, many international schools employ student counsellors on the same level as they do teachers, international contract with the benefits...you may want to see if that fits your background too...then the TEFoL is an added string to your bow.
I would say you are very welcome, you arrive, you contribute, you play by the rules, any you're obviously sensible because you're asking this question...it's the know-it-alls that come unstuck.
You're fine, you're a tourist who stays within the original visa without extending, but. likes to return often, exactly the kind of person they like, no border bouncing, no extensions, and a money spending mindset! Merry Christmas!
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