EMG's can be cleaned up to sound the way you like. I would try adding a BTC and rolling off the highs some or all the way using the 1 on 2 off high setting, then roll the lows off (a tiny bit) to clean up the sub-sonic thud. Then compensate for lost lows with your amp's eq, which will now effect the sub-sonic thud less, giving you more headroom in return. Might be easier and cheaper than sourcing new pickups. I spent some time listening to your band on youtube, and I think this suggestion will work for thickening up your sound and making you sound carry the band more, which I bet is a problem you are having with some uber-wide frequency response pickups like the HB's.
The Equivalent to the HB's is the 35P. Is there anyway to route the bass to 35's? Picture of said instrument? What if your tonal goals? There are so many coil arrangements available on the 35 series that might be more up your alley.
PS: Is the bass we are talking about featured in this video? http://www.youtube.com/watch?v=YQHjDFGdoBk
I wish I could listen to your link, but it says the video is private. I'm just listening to your studio sound and making suggestions on how to make the HB's work for you. Hope this was helpful.