FWIW, specs are usually designed for amplitude accuracy more than noise floor, so as long as you can attach a LNA ahead of the spec, and measure the noise floor of the amp and/or whatever it's attached to, you can perform accurate difference measurements. Of course, dynamic range suffers by the same token (the LNA might have excess distortion or clipping for > ~0dBm signals, say), so keep that in mind too.
If you're doing an EMC sort of survey, you normally want RBW = 9kHz (if you don't have it, 10 is close enough) with quasi-peak detector, for the low frequency range (150kHz to 30MHz; which is normally measured as conduction along wires, not with an antenna). Peak detector is okay; it will overestimate some, depending on the modulation waveform. 100kHz RBW and peak detection is used for the radiated range (30-1000MHz). This would normally be done only to calibrate a shielded test room, with a generator outside and a detector inside. But open air tests do need to subtract ambient sources from the measurement, so this would be an important step.
As far as what to expect, for HAM purposes -- you will be able to tell, qualitatively, with a very basic antenna (a hunk of wire poked into the BNC, perhaps?), what the major broadcast stations are. You probably won't get a good idea of nearby switching noise and whatnot (in the < 100MHz range, say), for which you'll need a suitable antenna (conical dipole?) and enough sensitivity to detect it (really, what you're ultimately concerned about is, how low is the ambient noise floor, at levels where your receivers can detect it?).
Tim