I personally think a High way P will do the job. Should say Fender P bass would do the job.
I do quite like the look on the RW bass. If I'm remember correctly, it has a Seymour Duncan pickup and badass brdige i think. The glossy maple neck is something I really liked.
Talking about badass bridge, I think the HW bass uses badass bridge.
I had similar situation 2 years ago, I ended up just modding my MIM P bass. Swap them for a duncan pickup and swap a maple neck to the p bass. Altho I choose a jazz neck over the precision neck.