His main rig for ages was basically a custom built amp that had a Vox-like front end w/ a Hiwatt-like power section, if memory serves correct (trying to remember that aforementioned GP interview - could be the reverse, Hiwatt front, Vox back)).
Great, melodic player w/ fine hooks and nice sounds. I understand he was a fusion player before joining Adams' band.
I would love Keith Scott's job. He gets to play nice simple lines over (or inside if you prefer) some great songs and he sounds superb! I've seen/heard him play Strats and Les Pauls and it doesn't seem to make a lot of difference to be honest. His tone is very 'Classic Rock' and seems to rely on power amp overdrive more than pre-amp so I'd look for an amp that can be cranked up without deafening the audience or the band.
You know, people can say his lines were easy or whatever. But you know what it ain't just notes he's playin'......much , much more than just notes. From the 80's he was my favorite, and still is. The solo on "cuts like a knife" !!!! Just that, cutting like a knife.