My first cheapy filter attempt was to simply rest a 20x25" filter on the back of the 20" box fan. This did not use the whole filter so I made a box that has one of the filtrete furnace filters on one end and the box fan on the other. The air flow was still a little low and the back pressure on the fan was too high so I remade the box and put 2 filtrete filters side by side. I used the 20x25" filters because of the greater surface for the same price gives the least air resistance. This is still way cheaper than any manufactured air filter, but lacks the activated carbon that some filters have, and is not as efficient as a hepa filter would be. This should still filter out most anything of significance. I am thinking of getting a different type of filter cartridge for one side so that they will each filter out more of what they do better than the other. Each technology does better on something, worse on something else.
It is a little noisy, so I turn it way down or off when we are in the same room much. Another of these filters is in the furnace, but with this old drafty house the dryer is in the same room with the furnace and it seems to be drawing some of the lint into the system, so the additional filtering was needed. The last time I opened a computer there was 1.5 inches of dust in the bottom. (no wonder I have asthma...) This homebrew filter is helping, but I still have to adress the furnace system. There is still a rather considerable amount of visible floating dust and lint in the sunbeams, but it is improved.