I play rock mostly with a pick (due to finger joint problems), and I've been very happy with Lindy Fralin's Split-Jazz in my 2003 Am. Series Fender. IMO, they sound very close to pure single coils, with a little less "air" in the highs, but I roll off the treble a little anyway so that's fine. Do they bring as much thickness as a P-bass or my G&L SB-2? No, but they always sound great, and they record extremely well too. Totally classic J-bass tone, with zero noise.
I've owned a bunch of other hum-canceling J-bass pickups across a few different basses, including fours and fives, and the Fralins are my favorites overall. These include DiMarzio's Area J, which are about 90% of the Fralins at a much lower price. They're also great pickups IMO, which I used in my G&L JB for awhile.
About the raised poles: My Fender has a 9.5" radius fretboard, and I like the raised center poles on the Fralins. I think they're an advantage, because flush poles don't always produce good string-to-string balance, as I've experienced on my 2010 G&L JB and new Sandberg California TT-5 Superlight. With serious tweaking of pickup and string height I got acceptable balance on both, but it's easier with raised poles, especially if you want the pickups closer to the strings. I'd still like a little more punch from the A string on my Sandberg, but it's OK for now.
Another you should consider: Lace Man o' War. These are pure single coils with virtually no noise thanks to Lace's Sensor technology. They do not produce vintage J-bass tone. They have a little less treble, and thicker low mids, with the result that they sound almost like a P-bass in a band mix. And yet, because they're true single coils, they have serious growl, especially at high volume. They work extremely well for playing rock with a pick--or just about anything else IMO unless you want lots of treble sizzle. I have these in my G&L JB, and I like having this version of J-bass tone alongside the more classic tone of my Fender with Fralins.