Lakes for largemouth bass and rivers for smallmouth are two different rods. I recommend that you split the difference and go with something in the middle. Probably a 6'6", 6-12#, Fast Action.
If you build it with Fuji Aluminum Oxide guides, Fuji reel seat and EVA grips you will come in under budget and with a nice rod.
I can help with vendor and component selection, send a PM if interested.
Jim -