How to deal with high authority but irrelevant external links
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Absolutely!
I advise you do this as soon as possible as this will be seen as a black-hat technique by search-engines.
No matter how high the domain authority of those websites, it will be seen as highly irrelevant and will be recognised as a technique to manipulate search.
I would also look at getting in touch with the webmasters of the websites and trying to get them removed entirely before disavowing them. It takes more time and effort but disavowing can take up to 3 months (sometimes longer) and that is a long time in the world of SEO.
Let me know how you get on.