Yes hepa will provide more filtration but if cost is an issue than the diy merv 13 box fan is a sensible choice.
Box fan hepa filter.
Hepa air filters are installed in hvac systems to remove the maximum amount of contaminants from the air stream for applications that require very clean air.
The fan in the window also positively pressurizes the indoor space so that contaminants are pushed out preferably through another window.
The box fan with the merv 13 can filter the air before it enters the space thereby reducing allergens and other pollutants found in outdoor air.
Merv 13 box fan set up at 2 feet from particle counter.
Further testing needs to be done with higher merv ratings and over longer periods of time.
Box fan merv 10 pollentec air filters pollen dust mold spores and pet dander biodegradable electrostatic design 6 pack compatible with lasko models b20200 2301 3733 box fans 20 5 frame 4 0 out of 5 stars 4.
Hepa air purifier aeramax 300 set at 2 feet from particle counter.
There are many qualities of filters so it is important to make sure that the filter is both a hepa filter and that it has a merv minimum efficiency reporting value rating of 13 or higher.