It's a hard no for me. The CE is very versitale. Save your money and regrets. For what you are paying extra, you could buy a very nice Studio and enjoy both worlds. Or, just keep saving and get a Standard, Traditional or Classic. There is no need for a hasty decision.
Just my opinion, but the Suhr would provide me a better mix for blues and country. The clean, twang and SRV tones would be top shelf.
For rock, I'd prefer the LP.
If you can wait, keep the Paul, save up and get the Suhr of your choosing. That will leave you with no regerts.