Hi Adam,
There are a lot more factors than simply going and disavowing all of these. You really need to determine what you are thinking when you say "these are all crappy links". You can use metrics such as DA/PA/PR/MR/MT and have conditional formatting set for the excel columns. You can export all back links from Google WMT, Ahrefs, OSE and even then you won't have all of your backlinks. Then use the Moz Toolbar to go and test the parameters you have set and paste them into the respective URL fields on the excel.
The process is manual, but the process of disavowing should be, it would have been automated crappy SEO that got you into this, so unfortunately automated crappy SEO, won't get you out of it. Time and effort is required or you will end up disavowing all of the value with the rubbish and you may as well just start from scratch.
Hope this helps!
