X --
One of the first things you encounter when entering the DB world from bass guitar is that the notion of "brands" and "models" becomes a lot less important. It's not a situation where "all PBasses sound like yyy." You might find that you prefer round-back to flat-back. You might find that you can get what you're looking for in a laminate, or benefit from a solid top, or have the funds to buy solid wood. But it's up to you to seek, experiment and find.
If you want to start playing DB with that tuning:
. Many smaller instruments tend to have less bottom than larger ones
. Higher tension strings -- for example, Thomastik Spirocore -- tend to play 'louder' and 'firmer' on many basses
. Consider an extension. My personal preference for dropped tuning is for a longer bottom string above a thicker one. (Lots of other people disagree.) That way you could play EADG with the E extended to B or C, and a righteous, firm low 'whoom' for your neighbors to admire
And that leads to my final bit of advice: Before you head into extra-low land, think hard about trying a DB with EADG tuning. Low E is a pretty low note. I try to be conscious not to over-use dropped notes. Slip one in every once in a while, the drummer turns around and goes 'yeah.' Play it all the time and it loses that element.
Have fun and good luck.