Reddit mentions of Air King 9166F 20" Whole House Window Fan

https://www.amazon.com/gp/product/B0007Q3RQ6/ref=oh_aui_detailpage_o03_s00?ie=UTF8&psc=1

I have that mounted on the window behind the rack where my miners are (spare bedroom upstairs). I leave the other window in that room open, and have this fan set to exhaust. It can pull a tremendous amount of air through that room. I have not been mining long enough to know how it will do in the summer, but if you think you can get by with a fan instead of AC, then this is the fan to get - don't waste money on those cheap plastic window fans sold at local stores, get this one and be done with it :-)

AirKing 9166 20" Whole House Window Fan https://www.amazon.com/dp/B0007Q3RQ6?ref=yo_pop_ma_swf

I removed the plastic casing from it.

http://www.amazon.com/gp/product/B0007Q3RQ6

Looks interesting. I am particularly amazed with the $36 thermostat-based outlet control module that amazon recommended at the same time as looking at the AirKing.
http://www.amazon.com/Lux-Heating-Cooling-Programmable-Thermostat/dp/B000E7NYY8

Love the concept and execution. PSA to the lazy, try this instead: http://www.amazon.com/AirKing-9166-Whole-House-Window/dp/B0007Q3RQ6

Edit:Whoops, cut off the link. Fixed it.

Try to use a whole house window fan.
[Whose House Window Fan](Air King 9166F 20” Whole House Window Fan https://www.amazon.com/dp/B0007Q3RQ6/ref=cm_sw_r_cp_api_i_bcKnDbFX6142K)

This is a good fan, but it only goes to 38" wide, but you could replace one slide with a wider piece.

These work well for me as a barrier in my window. Not sure how good it would be at capturing the dust you describe, but I have a giant 20" house fan as an exhaust pulling heat from the rig out of my house, and air flows through it just fine.

https://smile.amazon.com/gp/product/B002SBEG1S/ref=oh_aui_search_detailpage?ie=UTF8&psc=1

https://smile.amazon.com/gp/product/B0007Q3RQ6/ref=oh_aui_search_detailpage?ie=UTF8&psc=1

Dunno if that would work for your situation, but it will remove all the hot air from the house rather quickly i think there is also a 16" version

https://www.amazon.com/AirKing-9166-Whole-House-Window/dp/B0007Q3RQ6/ref=sr_1_1?ie=UTF8&qid=1525967923&sr=8-1&keywords=whole+house+window+fan

Why don't you save yourself the trouble and buy this:
https://smile.amazon.com/dp/B0007Q3RQ6/ref=cm_sw_r_cp_awdb_t1_-MJ4CbA0TW265

I ended up installing a Air King fan into my attic crawlspace entrance. It's a powerful fan and you need good attic ventilation. I rarely turn it on more than low.

https://www.amazon.com/AirKing-9166-Whole-House-Window/dp/B0007Q3RQ6/ref=sr_1_1?s=home-garden&ie=UTF8&qid=1469649678&sr=1-1&keywords=airking

I have a 2000 sq ft house, I put this in a 3rd floor window and it pulls air for the whole house. Don't buy the Lasko plastic fans (this one has steel blades). The plastic blades warp at high speed and don't push(pull) as much air.

I use a whole house window fan. It moves A LOT of air, much more air then a couple window fans could. I run it all night with all but one window closed, at the opposite side of the house from the fan. In the morning the house is usually 65ish and I turn off the fan and close window, it stays at least 10 degrees cooler then the outside until the evening.

found this. 3200 cfm...that would cycle the air 3 times per minute.

https://www.amazon.com/AirKing-9166-Whole-House-Window/dp/B0007Q3RQ6/ref=sr_1_1?ie=UTF8&qid=1518988324&sr=8-1&keywords=window+fan