I've not had that happen to me, but I have noticed that you have to be really alert and careful when checking out to make sure you don't get caught up with all of their repeated offers.
You can reach their
PR folks on Twitter @VistaPrint. I saw someone tweet a complaint to them last week and they responded right away.
I recently ordered something from Academic Superstore and I noticed (thankfully) that you have to manually uncheck an already checked box to not have it shipped two day. I had to manually change it to get the cheaper shipping. I think that's pretty sneaky as well.
Let us know how it turns out.