Sometimes you just have to go with it and take your licks. I was at Monument Valley last month and we had a dust storm before sunset. I had a bandana which I used to cover the camera / lens on the tripod, but that was it. I actually took some shots of the valley during the dust storm. Suffice it to say I ended up with a fair amount of dust (a whole bunch - I'm talking scores) on the sensor for the rest of the trip, and trying to clean it I actually made it worse when I ran out of clean swabs . Still I got the images I wanted and was able to work with them.
Here's one ...Monument Valley After the Dust Storm
Fortunately ACR which I use for raw development now offers dust removal on the raw development side, so I can go back and edit the raw file without having to re-do spot healing on the background, and can transfer the spot removal from one image to another, which still need to be tweaked but saves a lot of time.