Simple radiated EMC measurement
Note that one wavelength is 10m at 30MHz, so at least the measurements at the low end of your frequency range will likely be in the near field.

In my experience, the only way to really measure what it going on is to use a calibrated test range.  However, that doesn't mean you can't get useful, but mostly qualitative, measurements on your own.  Even then a spectrum analyzer is very useful.  Don't worry about near field and use the spectrum analyzer to identify frequency spikes.  You won't know if they are above or below the limit without a proper calibrated test, but you can get a feeling where your likely trouble spots are.

You can then do the usual cheap things (series ferrites, common mode chokes, caps to ground, etc) to reduce the emission spikes you see.  Your lab measurements will at least give you a reasonable idea of how much each of your fixes reduce the problems.

Then you go to a calibrated test facility and find what you missed.