Unfortunately, I think it's going to be "watch one, then move to the next". The PS3 itself only supports playlists on photos & music. I don't think it's intelligent enough to understand a remote playlist with a foreign text-format.
Although I own several PS3's, I cannot say that I've used it much as a remote Media Center (I actually like stacking all my content ON the PS3 itself as a 'Media server', since the backup/restore process is so much more simple and error-free than the PC). I've got a 320gb hard drive in my main PS3 and plan to upgrade to 500gb or higher in the near future.
That being said, did you check to see if you use triangle and select multiple remote titles, if you can at least do "watch one, then move to the next" unattended? --That may be possible. If you hit triangle at the base of any XMB menu, you get more options to explore & manage external, remote, or internal content, ... than if you just press "X".