that box isn't deep enough to even put the subs into it.
on sonics site you go to the features&specs tab and scroll down and it tells you how deep it mounts and how much air it requires for both sealed and ported boxes.
yes that box has enough air...no you can't use those subs.
if its practically the same box then no you aren't restricted to shallow subs. 6.5 inch deep is full size for many subwoofer models and that box will barely let you do it but it will let you do it.
the air space is the real restriction here but it's not a brickwall.
http://www.sonicelectronix.com/item_45529_Alpine-SWS-12D4.htmlwould be an okay choice for that box.