Any particular reason you are putting on 11's. 10's were standard of the industry until tubeless took over in the 70's and 80's. 11s may be a little while for your wheels if you have the 7.5" wheels. Also the G177 is really not a highway tread. Scroll down to page 10.
http://www.goodyear.ca/truck/pdf/product_brochures/Mixed_Svc_Broch_P.pdfAs for air hoses, a 3/8 hose with 1/4" quick connects works fine on a 1/2 drive impact. For 3/4" and 1" impacts, we use 1/2" quick connects and 1/2" quick connects at the tool with 1/2" hose. If a 1" impact won't rattle it of with that kind of hose, your vanes are probably worn out and are passing too much air.
Stud piloted nuts can be really tight and a 3/4 drive impact can be pretty useless. We still have one of these for the really tight ones.
http://www.qualitytoolsforless.com/Product.aspx?ProductID=34624&gclid=CN2Vgu-o0bwCFeJF7Aod30wAngThe square drive absorbs too much of the rattle when they are really tight. The splines fit tight and the rattle isn't lost like the square drive. Even at that, I have had to use heat on top of it on vehicles that spent their life in the rust belt.