Hi! We're a military family that has taken our family to Disney three times since 2009 and have stayed at both Deluxe and Moderate Resorts. We've also traveled with extended family (a party of 16 with 8 small children). First, I'd like to add my thoughts just so you can make a good judgment on the location of SOG and it's access to the TTC. SOG is across the street from the Polynesian Resort, and although it is "within walking distance" to the TTC it is quite a trek. Since you are looking for easy access I just thought I would include that. The easiest access to the TTC are the monorail resorts, of course, as others have stated. Just want to include that the Wilderness Lodge and Fort Wilderness Resort are close by (a boat ride away). Worth considering. The Wilderness Lodge is a Deluxe, but offers rooms at a more affordable rate than other Deluxes, and the Fort Wilderness Resort offers camping and cabin options. With the size of your party, you may want to consider a cabin or two. Price it all out, especially because it sounds like your husband qualifies for the military discounted rooms. They are 40% off for Deluxe, 35% off for Moderate, and 30% off for Value. The discounts are based on availability of course, so if you plan to book last minute or closer to the time you are going to travel the options may be limited. Only once did we run into that issue, when we booked only 60 days out.
For reference, with our party of 16 we booked four adjoining rooms at the Port Orleans Riverside. Absolutely beautiful and we didn't feel like we were missing out on a Deluxe while staying there. With the 8 children, and 3 who required strollers, we didn't mind having to fold them up for the bus rides. Just remember to request bottom floor rooms so you don't have to climb up and down stairs with the strollers. The pool at Port Orleans Riverside is wonderful for children as well, and you get to take a boat ride back and forth to Disney Springs. Very relaxing.