I haven't seen such a one-in-all package.
The problem with phono signals is the extremely low voltage and impedance. So what you'd need, is a preamp that magnifies the incoming signal to a level that off-the shelf analog to digital converters handle.
There are some flat amplifiers for use with the tiny phono signals, for example Channel D and the aforementioned Violectric PPA V600. The flat signal can be manipulated after AD conversion.
I think this is the ideal chain:
Cartridge => flat preamp => AD converter => digital RIAA and DSP => DAC
This electric chain should, I guess, be of low noise in order for the DSP to be specifically targeted at correcting noise from the vinyl disc instead of trying to correct chain induced noise.
As Dallas has already mentioned, just try a good mic preamp.