Personally, I don't believe you'll be able to set the DSPX in any way that it will wind up being comparable to the Omnias in your market. This isn't to disparage what the DSPX is, but it's just not the same class of processor. You might get closer with a DSPX-tra, but maybe not even with that box... and given your problem, I wouldn't spend money in that direction.
Set aggressively, the DSPX suffers from high frequency pumping, mainly due to not having enough bands. The "xtra" mostly solved that problem. It also has a clipper that the state of the art has moved beyond. As you turn it up, it will become more "fuzzy", mushy and less well-defined, rather than louder. In the tradeoff between clean and loud, you won't be able to get both, and compare your sound favorably on both points against Omnia's products.
As is always the case when talking processing, these opinions are subjective. I hear things other people don't, and vice versa, so this is all said with percentage of certainty that you won't agree with how others see things in this regard. However, you're applying your processor to a format that requires more from it than easy-listening, classical or talk. You're also putting the box up for comparison to another company's product. While an OK processor for some applications (maybe), the DSPX will fail on both counts, in my opinion.
If budget is your main issue, I'd look around for a used Optimod or Omnia. If you're adventurous and not off-put by placing a PC in your audio chain, you can get big-processor performance from the software product, "Stereo Tool", for a whole lot less money.
If you really feel the need to spend more time with the DSPX, start by downloading the latest firmware update from their site. There may be some new presets in the update as well. It may not wind up being enough for what you're trying to do, but it will at least bring the box up to the best BW's managed to make it.