Actually, that particular motherboard has both VGA and a DVI connections, so you wouldn't need an adapter. So when your tech guy puts this together for you, make sure he knows you will be using an old CRT monitor and need a VGA connection. If you go with an Intel processor and a Z77 motherboard, virtually all of them have both VGA and DVI connections.
Like Jenny said it depends on the fans - my case has 5 fans and I can't hear them at all. Do a little research on the case you pick out - especially user reviews. If a case is noisy, it will be a common complaint. Newegg is a very good resource for checking out user reviews. And Newegg is also in Canada, so you might do some shopping for components there. I did check out the user reviews on that Apevia case and they are pretty mediocre. So I selected the Cooler Master Black HAF for only $2 more. I then checked out the review at Newegg Canada and that one gets a whopping 93% 4 and 5 egg reviews. Like I said, it's a good resource for feedback.
I did notice that the prices weren't all that much more at Newegg Canada, but the shipping is insanely expensive!
Like I said, this was just an example of what to look for, not necessarily recommendations for specific components.
Heading out to the gardens...