For that type of money I would roll with either a TC Triumph or a CVA Optima Pro and top it with 2-300 worth of scope. Both will do exactly what you want, be accurate and fairly easy to keep clean.
For a hair more I would buy the Encore and know that later should I decide I never wanted to shoot a smoker again I could put about any caliber I wanted on it and keep on shooting. My smokepole is an Encore 50 cal and I also use it for turkey season with a barrel swap to a 12 gauge. When I still rifle hunted I had a 270 barrel and a 300 mag barrel.
After you decide which gun you want, come back here for advice on the powder and bullets and accessories. If you fall in love youll have a blast with it.