Paul Jorgenson KE7HR
The antenna analyzer is only looking at the SWR (reflection) and will not give you an accurate indication of the transmission characteristics. Since you have a good test set, use the tracking generator in the HP 8935 and look at the transmission.
I normally use my MiniVNA or an Array Solutions VNA-2180 to look at the "as built" filters. For higher frequencies, I have an older HP spectrum analyzer that is good to 3 GHz (nice when setting up my UHF repeater filters).
If I did not have those available to me, I have used an oscilloscope with a 50 ohm load. Feed the filter with a steady (or at least, known) signal level and record the voltage to the load into a spreadsheet. Do the math in the spreadsheet and generate a graph. Much more time consuming than setting up your instrument and doing a direct measurement...