I'm not sure any remotely low-end scopes have in-depth jitter analysis capabilities. It's typically a (not inexpensive) add-on feature only available on higher end instruments, as it's normally only relevant on high-speed systems these days. You can get an idea of the jitter amplitude by using 'infinite persistence' in many DSOs these days (ie. an eye diagram), but this doesn't provide any information on the time function of the jitter. Such analysis, I believe, requires some fairly in-depth signal processing on the captured data, especially if you need to do clock recovery as in SPDIF. Which I guess is good news for you if you're willing to write it - what you'll want out of the scope is as fast a sample rate (high timing resolution) and memory depth (many sequential clock transitions) you can get and most importantly, a way to export the captured data. Your scope's timebase (ie. sample jitter) needs to be better than the DUT in this situation I believe, which might be trivial or might require a scope with an external timebase input or one way, way out of your meager budget. Alternately you might be able to use the scope's second channel with a stable timebase and use it to re-timestamp the samples in software, rather than trusting the scope's built in timebase. Trigger jitter should be very low on modern scopes, I don't think it's a big factor.
At 1Gsps and with 10Msample memory the SDS7102 will give you 1ns resolution over a 10ms measurement period, which should allow you to measure the jitter frequency spectrum down to 200Hz. With correlation in your signal processing you might be able to get more frequency data out of it from multiple captures.
IANAEEPhd.