You said you talked to the resort, but the number you call isn't actually CBR. Which wouldn't be any any help anyway. They do not assign the rooms. If needing a handicap accessible room, you need to call CRO and ask them to talk to special needs. SN will actually block of a handicapped accessible room, providing one is still available for your time of travel.
Have to warn you though; CBR has the least of those rooms of any of the mods, so that might be a bit of a pickle. (but on the up side; most are afraid of CBR

)
Did you read up on what type of rooms there are? There is the basc accessible room, that will have grab bars in the bathroom. It will still have a tub. If needed, you can request a shower bench from maintanence at no cost. Then there are the rooms with roll in shower. These rooms not only have grab bars, but they have no tub in the bathroom but a (collapsible) showerseat and showerhead you can take of the holder on the wall. Only mentioning 'accessible room' will get you the first, mentioning needing a roll in shower would get you the second.
Another 'thing' might be the number there are of you (assuming you'll take the kids along?). If he were to need the room with roll in shower, those rooms are with a king bed only at CBR. Since there are 4 of you, Disney WILL do everything within their power to take care of you, but with you being so close to the traveldate, it might be more of a problem than for those of us booking a year ahead. To make sure; Disney WILL make sure there will be a sleeping arrangement that fits your travel party size, but this close to the traveldate, they might not be able to find you a handicapped accessible room that fits his specific needs.
And of course, that's all assuming nobody did actually talk to SN for you. If they did, I didn't have to bother with the info.
About stubborn hubby? Let him be stubborn. He's setting himself up for problems, so let that be exactly that; HIS problem. He can wheel himself around as much as he likes, under 2 conditions;
- he's not allowed to complain to you or the kids about the pickle he might (will, read our lips!) get himself into
- he's on his own when he might (will

) find that wheeling around isn't doable for a non experienced person and he wants to get himself a solution. In other words; you go back to the front of the park and pray you can still rent an ECV and catch up with us at point B. If no more is available; you call the rental places! (since his wife isn't too wicked, you will be prepared and carry some of those phonenumbers in your purse

)
Or he can opt for the 'keep my wife quite, but I still think I know better option' which consists of reading up on the disABILITIES board for a couple of hours where he will also see the light of it being a bit naive of wanting to wheel himself around all day for the whole trip.