The Joule is not only a champ in bass, but the very thing that made HP go gaga over the Joule in TAS. This quality was improved in the 150MKII and later product including the 150SE and the 300 and 450s, but the latter may be beyond your price point. Not sure which of the two brands you will prefer, apparently there will be advocates for both, but I personally would steer to the issue of track record, logevity, build quality, and reliability - the intangibles that go beyond sound. The TRL might be first rate at these, though it has not been around for nearly as long (if that matters to you). Sounds like they would both make you happy.
Frankly, I don't think you will know either way without listening (hard, I know) - that would be far more important than what partisans of either brand might say - but ain't it always the truth.
A brand you don't mention, but you should consider is the CAT SL1 Ultimate - I would be hard pressed to choose between it and the Joule (both of which I have owned) as the are both superb but different and who know how you will respond to what you hear?
