NP here. I have no experience with MoEd (
www.moedcommunity.org) myself, but I heard from someone involved in the program awhile ago that they try to support a wide variety of needs during their after-school program. It might be worth asking about camp.
A friend who sends her child to Camp Gan Israel in Silver Spring (
www.cgisilverspring.com) pays for a teenage aide in addition to camp tuition. Camp tuition there is significantly lower than it is at the JCC or MoEd, so it might not cost much more to pay to have a teenage aide than to send to MoEd or the JCC.
Both Camp Ramah (
www.ramahdcdaycamp.org) and Camp Shoresh (
www.shoresh.com) have "traditional" camp facilities, but I don't know what they offer, if anything, for inclusion. It might be worth contacting these camps what they can offer if you're considering sending your child to Jewish overnight camp at some point. These camps try to have an overnight feel by having all the "traditional" camp activities and grounds, but they're day camps. They also both provide transportation from various points around Montgomery County.