I can't speak to the Deluxe, so I probably can't be very helpful here. I have a Hot Rod Deluxe with a drive channel, but the drive channel is so mushy I wouldn't use it. Bobby's sound is very clean and not at all mushy, so it seems like you want the amp to just start to break up.
I'm eager to see what people think of Bobby's sound because it's not easy for me to get either. It's clean, sharp, and metallic. Not a lot of low end either.
I also thought I recall seeing Bobby using a Vox lately. Maybe he's dialing in some of that Vox chime. (Probably wouldn't help with a Fender amp given the different power tubes...)



