Good way to
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When you say "disavowed", you mean that you've specifically used the disavow tool Google provides? In that case, you shouldn't need to have them re-crawled - my best guess from talking to other SEOs is that the disavow file basically acts as a layer of data on top of the link graph.
Now, if you've had links removed, and you want Google to acknowledge the removal, then yes, you'll need to get the pages re-crawled - or else just let time kill them off (but that could take a while). This is tricky, though - you don't necessarily want to promote a spammy page or drive more authority to it.
If it was one site you controlled, you could use XML sitemaps, the Webmaster Tools URL submission form, or a service like Ping-O-Matic (http://pingomatic.com/) to nudge Google to re-crawl, but most of those solutions don't work for a bunch of URL from other people's sites.
So, you're left building links or somehow drawing attention to them, which can be dangerous. You can promote them in social, too, but again, then you're basically vouching for those pages, and that's not exactly going to build your social accounts.
If you're using the GWT disavow, I'd just give it a time. Otherwise, I'd probably try something like pinging (you'll have to hack together a list of the URLs somehow, and maybe publish them to an RSS feed) - I think that's the lowest risk alternative.