Ascend is a well designed speakers ... as is Hsu.
We can point you in the direction of good speakers for your budget, but cannot know what would be your favorite.
The differences between the better products in a specific price range can be hard to choose between.
In a perfect world, you would audition both in your home for 2 weeks or longer to decide which is your preference!
I honestly believe you would be very happy with either,
I can tell you that my impression of the 340 was that it is a somewhat forward sounding speaker - not enough to cause fatigue, but enough to have a little extra presence! I would not consider that an issue at all, but if you are looking for a "laid-back" speaker, the 340 is leaning just a touch the other way! I have not heard Hsu!
BTW, good call on the Hsu! As long as the size is not an issue, the tuning flexibility is worth a lot to ensure you can tune it to your room. The PB1000 does not offer much ability to tune the sub, IIRC!