In my opinion a 4" Vortex should work fine for that cabinet - I use a 6" Vortex in a Hydrohut mini and it's way more than enough...in fact, next grow I'm going to attach another 400w cooltube to it and have it cool two 400w lamps - should be a cake walk. Thats just for cooling the lights though...I also have a squirrel cage fan with a carbon filter to clean and exhaust air from the cab.

The 17" depth of the cabinet you show above is gonna be somewhat cramped for flowering...you'll need to be a little creative but most tokers I know are pretty creative folks.