Nitrates are not nearly as harmful to fish as to corals....really, if you can keep it below 100 and stable, your fish will adapt nicely. It's always going to be a struggle given the nature of your tank - lots of meaty food input, lots of fish poop output.
IMO, the most effective way to deal w/ nitrate in a fish only tank is large, frequent water changes. People did this succesfully for years when wet/dry filters were in vogue.
Are you concerned because your fish are showing signs of distress, or are you concerned because your test is showing "red"? If it's the former, by all means try to reduce the levels. If it's the latter, maybe it's just time to do a few water changes, keep up a schedule, and enjoy the tank. Good luck.