Not having a degree may be a hindrance in securing employment with a company that would sponsor you for a work permit. This would limit you to the 3-month tourist visa.

Even if you did find work for this time period, the authorities would look askance at a quick visa run when your time was up. This would restrict your working time in HK because you would not be allowed to stay in the city the second time for any appreciable amount of time.

You seem better qualified in finance, so if you could get sponsorship with a company in this field that offered you a job, this might be a better route.

On balance, expat english teaching is not a good field to work in. You have to put in one to two (unpaid) hours outside of class to prepare lessons, and neither the schools nor most of the students are very respectful of you.