Many thanks for all the great suggestions!
I want to look into the Girot's products as I've heard about them before and have some more severe scratches and scrapes (already on the car when I bought it) that I'd like to tackle when I have the time.
I looked for the Meguiars products locally after work but only found this one:
So I thought I'd give it a shot.
The results were fairly quick and surprisingly good:
And this is my solution for now
Of course I put the cheap generic cover on the Driver so I can rip it off and toss it on the bench every day and not worry about trashing a $375 cover!