Thanks for your post.
Unfortunately at the moment we don't support retrieving the history for objects that have been moved like this.
Because Tortoise can do it (with the tick-box you mention) it is possible we could add this in the future. Could I ask you to add it as a request on our uservoice forum for Source Control? You'll find it here
If plenty of other users vote up this option, it will get considered for inclusion in a future release.