The larger suites at the Hyatt are large and quite nice, and can be had for a pretty decent deal sometimes (~$200; check for the "Suites on Sale" rate on Hyatt.com). 7 guests might be more than the official max occupancy. Not sure if this is outside your budget, but worth a look.
The Hyatt Place worked for me (6 of us) last time I was there. It's within walking distance (~15-20 mins) of the park entrance and you get breakfast included. The Hyatt Regency is a little further up the road and offers a shuttle to the park and they have larger suites as mentioned above, but may be a little more expensive than Hyatt Place.