With large and oft-changed binary files, both git and svn should be basically the same for push/commit and pull/update operations. With large files, you're limited by the size of the diff you're sending. Both git and svn will do compression, so nobody obviously wins here unless one of them works better with your file type.
However, there is one critical point: Cloning a git repository of this sort will be slow. This is because clone will have to pull down all of those diffs, instead of only the latest snapshot.
So if you can avoid the clone
command, specifically, you're free to go with whatever tool has the best support for you.
(I will also suggest Dropbox as a good candidate for this task.)