For what it is going to cost to turbo the 4.7, you would be better off finding a wrecked Durango Limited with the 5.7 HEMI and grabbing the engine, harness, PCM, and mounts and be done with it. You will save a lot of money with a mild HEMI build and not have to worry about if the tuning is right and also finding the right premium, as there are some states that don't sell 93 octane and that will severely limit your power.
Even then, I think you may have some problems with your 4.7, because the 08 and up 4.7 are rated at 300hp and 320ft-lbs. That is 65hp and 20ft-lbs. more than the old standard output 4.7 put out and way better than either the JGC 4.7 HO or the Dakota's 4.7HO. When was the last time the spark plugs were changed, throttle body and idle control valve cleaned, air filter changed, etc.? It sounds to me like the engine hasn't had a tune up in a while.