Hello Stumple!
To answer your question; we have only to turn to other popular decks at the moment.
Tornadus/ Mewtwo /fill in the blank(usually Terrakion or Boufalant) Runs 10 basics
2-4 Tornadus ex
2-3 Landorus ex
3 Mewtwo ex
2-3 some combo of meta specific techs
Hammertime (Darkrai, Sableye,+ sometimes techs) runs 9-10 basics
4x Darkrai
3-4x Sableye
2-3x Meta specific techs (sometimes.some run no supporting cast)
Ray eels (eelectrik and rayquaza) Runs roughly 11 basics
3 Rayquaza ex
2 Rayquaza
3-4 tynamo
Raikou ex
2-3 others (Zekroms,Tornadus ex, ...)
Darkrai /Hydreigon runs 10-11 basics
3 Darkrai ex
2-3 Sableye
3 Deino
Shaymin ex
Mewtwo ex
Sometimes another meta specific tech.
There are others, but these are the decks that trend popular in most areas. The only one I can think of that doesn't (almost ever) Mulligan would be Empoleon. Due to it's nature and reliance on a full bench, it runs a VERY high basic count. Like 12-15. So, in comparison to other stuff, 9-10 isn't that low. Mulligans happen.
As for the Gold Potion instead of Computer Search; I'll try it. Never tested it but it seems like you play it pretty much as a fourth Super Scoop Up.