Barrows is a way better option, especially now that they have the connector finished to Scholls at Murray.
Roy Rogers isn't so bad; it's a fun piece of road with no stop signs or traffic signals the entire length of it. The shoulders can get a bit dodgy with dead animals and debris, though.
Scholls: I stay off it as long as I can. I hate riding that road. And that's besides the here-then-gone bike lane! If you insist on riding Scholls, I recommend taking the lane at that point.