A couple options I'd personally recommend: Sire U5 and Fender American Performer Mustang.
Why Sire U5? Extremely low price, especially if you find one used. The pickups have very low noise and are well balanced with each other, which isn't something you can say about every PJ bass. I've been especially impressed with the sustain on the ones I've tried myself. To my ear, the U5 sounds a lot more like a long scale bass than I expected.
Why American Performer Mustang? Better than average bridge pickup in my opinion, and I found the neck to be really comfortable as soon as I picked it up for the first time. Since putting on La Bella flats last summer, this went from being a bass that I couldn't quite connect with to being a bass that I can't put down. One big advantage to this model over the cheaper Mustangs is the VVT control setup; others like the Player Mustang have a three way toggle instead. With all that said, it's still tough to recommend this over the Sire U5 given that it costs more than twice as much and has very noisy pickups by comparison.