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Just be aware that the stronger the filters you use, the faster the fan motor will die trying to pull air through the filters. Probably still cheaper than buying a hepa filter, but you would need to replace the fan every few months, or go for a lower power filter.
The other possibility is to increase the number of higher power filters to decrease the load on the fan.
This was recommended to my SIL by her doctor for her lung issues. Works pretty well.