The practical way is to use a thermal RMS meter if you want up to say 100MHz or a decent multimeter if you are content to something like 1MHz. It is a power rail after all. It might be enough for your needs.
I like wavetek/khronkite brand bandpass filters to do the job, you will get 1st order to 1MHz with a cheap ebay one. Its enough to triangulate a LC filter problem.
When I looked at the performance of filters, they offered suprizingly good performance even at high frequencies. I was panicked that I needed to select proper magnetics and stuff, but it turned out my RLC low pass filter still offered like 10dB attenuation at 50MHz, when it was tuned to the KHz region. So long you are reasonable with the dampening and layout you probably won't see any kind of crazy peaks outside of your band of interest, just less attenuation, but attenuation is always good, so whatever.
I think its better to design a heavier filter anyway, because you never know what kind of interference you can get upstream of the power supply. I am not sure there is that much point in fine tuning it unless its for sale and you need to keep costs down, so in my opinion if its for home use a AC meter and maybe a filter is all you need. Or I guess you might actually be interested in how a filter behaves and want to study it, like I do sometimes.
For a power rail you can also get good results using the digital filters on an oscilloscope. Even the cheap ones on my rigol 1052e are enough for a power rail, its really obvious on an oscilloscope if your filter is doing anything, just short it out. They are quite versatile an you can get an idea of whats going on just by sweeping your digital filters, and its free with most modern scopes and you don't need extra cabling etc. I found the 1052e FFT horrid in comparison to its digital filters for getting an idea of whats going on, the noise floor is too bad.
I don't know how far I would have gotten with my little home projects if I was pulling out the LISN for every LC filter I designed lol, but it is the proper engineering method. It sounds however that you are already much smarter then the average fish if you are putting extra LC filters on things, I don't see most people bother at all. All this advanced test equipment for frequency response testing is kind of expensive and it will slow you down ALOT to do it properly.
Dave Jones has a few EEVBLOG videos where he shows you how to measure power supply noise without advanced equipment and goes into the nuances.
The stuff listed in this thread is rather advanced. I could see it like throwing calculus books at high school students. Based on how you phrased the question I start to think getting this advanced can hamper you efforts, especially if you have done no measurements at all yet. Make some basic ones then decide if you are interested in going all AC analysis crazy
And if you want to get into the industry it helps being able to just use the most primitive tools to do something because people will look at you like you are smoking crack if you start asking for advanced equipment at work for things that people tend to 'lick the voltage' with.
Take one of your power supplies, connect it to the load of interest, hook up a multimeter in AC volts (like a lab meter or better fluke), then short the filter out with a wire and see what happens. You need to do this first. And don't use random values. Even using a filter calculator like
http://sim.okawa-denshi.jp/en/Fkeisan.htm will give you much much better results then random values. And stick to inductors instead of ferrite beads, ferrite beads will drive you crazy.
Then test your filter like this