How to prevent the high frequency mismatch in balred?

I'm using R2013a with Control System Toolbox.

I found this issue with a real system I need to write controllers for. But I've been able to recreate it with rss. The problem occurs when the system has low gain at high frequencies (quite common in engineering!). So to recreate it, you might have to try a few rss until one looks like this (excess poles).

These were my steps:

sys = rss(30);
red = balred(sys,4);
bode(sys,red,'r')

And I get this:

Now this would be a great fit if it weren't for the final zero at 10 rad/s. Manually cancelling that zero is not an option but I can see it improves the high frequency fit a lot. Any suggestions?