Are you looking to measure filters that are speaker level or line level?
If you don't want a computer, then you will need a stand alone spectrum analyzer. I see sketchy ones on eBay selling for $600 or so. Nice ones look to be $2000-3000. Some of the newer, nicer scopes have FFT's built in. You can throw periodic noise into your line level circuit and look at the output on a spectrum analyzer to get a good picture of what a filter might or might not be doing. To get the same picture from a scope, you would need to hook up a signal generator, then run signal in at different frequencies and measure the voltage. If you had a T-table of enough values, you could then put that into excel to get some kind of approximation of the response. This slow and painful, as most older scopes are stuck displaying voltage/time when you really need voltage/frequency.
If you want to measure filters that you are applying to loudspeakers, you would need an RTA with decent resolution. There are stand alone RTA's that you can buy, but the ones that are useful are several thousand dollars, and they require very specific and expensive microphones to work their best (TES-1358C is a good, compact example of what you'd want).
If you buy a ten-year-old Windows XP box for $100 on CL, buy a decent sound card for it for another $100, then buy a microphone with a .mic calibration file from PE for $50, you will be able to do both. If you upped your budget and got an inexpensive laptop, all of this equipment could be placed inside a plastic tote and stored while you're not using it.
You will also get a very capable distortion analyzer out of this setup with the addition of a loose 8 Ohm 25W resistor.