sdandrea1 I don't really have room for anything bigger,
Just install in a spare bedroom and run line underground to the shed. That will also help to have it quiet when operating the blaster.
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But, if it is something you really want to do, go for it. The compressor will work, but it will only let you do maybe 1 head before you have to wait. I did that this summer when doing the TA3 heads. I have a smaller compressor than maybe what yours is. I just hate the waiting. I didn't even use a cabinet, just did them in the back yard. Of course I did lose the media in the grass.