Depending on the design, you could always store the user / basket or whathever you need in the tempdata in the database and just have a "IsReady" field which indicates if its completed or not, making it extensable for later if you want to take in mind, that people can close their browsers.
I think you do well to hesitate before using TempData. TempData is stored in the session and this may have implications for you if:
You don't use sessions on your site right now
You have a system that needs to scale to high throughput, i.e. you'd prefer to avoid session state altogether
You don't want to use cookies (I don't know how well MVC supports cookieless sessions right now)
If your site needs to have high availability, then there are additional considerations around applying session state but these are all solvable problems.
I kind of think of temp data as being a fire-and-forget mechanism for notifying the user. Its great to give them a reminder of something they recently did, but I'd also be hesitant to make it a required step in some user process. The reason being if they refresh the page, I believe it would be gone. Well I guess I'm also hesitant to use it as its not really well defined how reliable it is.
I wonder if the problem is that you're having the action redirect to another page before the confirm step. I wonder if instead after they first submit, you could do enough processing to generate the confirm dialog, then return the original page with the confirm question. Similar to how you might do validation, except the validation rule checks whether the confirmation step was performed (with the confirmation UI hidden until other validation passes).
No need to have an aversion to TempData... But if not used correctly it could surely be an indication of poor design. If you are using RESTful URL's, TempData is a best practice for transfering messages from your POST Actions to your GET Actions. Consider this:
You have a form at URL Products/New. The form Posts to Products/Create, which validates the form and creates the Product, On Success the Controller redirects to URL Products/1 and on error would redirect back to products/New to display Error Messages.
Products/1 is just the standard GET action for the product, but we would like a message to display indicating the insert was a success. TempData is perfect for this. Add the message to TempData in the Post Controller and put some if logic in the view and your done.
On failure I've been adding the values entered in the formCollection and a collection of error Messages to TempData in the Post Action, and redirecting to the intial Action Prodcuts/New.
I've added logic to the view to populate the form inputs with the previously entered values along with any error messages. Seems nice and clean to me!
Check out sessionless controllers in MVC3. It turned out, that using session prevents parallel execution of a single user's requests and thus leads to degraded performance.
Since tempdata uses session by default you wouldn't be able to use this feature. You can switch to using cookies for tempdata, but it's a bit awkward (at least for me). Still cleaner than viewstate, though, so maybe it's not such a big dealbreaker.
All good answers, have you had a look at this for passing messages along.
TempData and Session arent the best idea for RESTful architectures as most sessions are stored in memory. So when you want to use a server farm, the users session would exist on one server while their next request could be sent to another server.
That being said have a look at this use of TempData for passing messages here.