Both Chris and Geddy have recorded bunches of songs with 5 and 6 string basses,plus Chris has a custom 4 string Tobias bass that has an extended lower range. You mean your band doesn't wanna cover "big generator"?n, but that low B's gonna be ignored in any Rush or Yes tune. ?
By the way,another vote for a nice 5 string Carvin! (If ya go the 5-er route)
As for the RIC,if you played a 4003 at the store,you owe it yourself to check out a 4004,which ergonomically is a much more comfortably playing bass.