There is a new system in place (rolled out late last year) that protects from this sort of thing. It's fed off of the community and moderators taking normal actions, and it's global to the network.
If users on Stack Overflow (as an example, all sites feed into and subscribe to it) reject edits as spam, they significantly impair the ability of the spammer to continue. The system quickly restricts their activity, then rejects all posts and edits from them until the abuse subsides for a period of time. This goes deeper than even the IP and account level, it's extremely difficult to cheat or escape.
Recently, we've been being hit with huge spam networks, and the system has been keeping 90% of it at bay. Unfortunately, the overall volume has significantly increased, which means the visible percentage (or that which must be flagged for the system to learn that it's evil) has grown in proportion. Where before you might have seen 2 or 3, you now see 10 or 13.
We've been manually augmenting the system by feeding it information directly from queries, and I've done that in this case as well. Additional features are going into the system shortly that will help clobber even these massively distributed spam attacks, so that the visible percentage doesn't bump so high when they happen. This simply entails keeping track of those innocuous posts that spammers target for whatever reason, and dealing harsh score penalties to hosts and networks that spam them even once.
In other words, we're on it, and sorry about the noise. Just a graph of what's being kept out vs what's being flagged for context (as of right now):

By the time you've rejected a few edits, the spammer has probably already been stopped. What remains is, edits that are still in the queue made by them. It takes about 250 flags from the entire network of 100+ sites to keep out up to 2k spam posts / edits daily (or, roughly 2 - 3 flags per community/site), which is pretty good. There's also a less than one percent error rate.
The thing to do here might be to just drop any queued suggested edits when something is blocked (or at least whatever they contributed).