I tend to agree regarding a Stingray. I find that a Wal with the pick attack engaged sounds super close to a Stingray, although I haven't had much luck taming the high end of a Stingray to get it to sound like a Wal. Either way, good call!
When i used a SR with a Tool setup in February. I had to add a second Rat pedal and a Sansamp VT pedal to my signal right before going in the amp. I later switched the VT for a DG B7K and got it to sound better.
I then had these onboard settings on the SR
Volume 10
Tone 4
Tone 3
Boost 5