My sure fire way to get ribs to almost desintegrate is to marinade them (however you like) the wrap them up in 3-4 turns of aluminium foil, start the lump charcoal (I have never gotten good results with briquettes... heck I don't ever use brikettes unles there is a charcoal emergency...) when the charcoal is about 1/2 way to becoming embers put the foil pakets in the grill using Direct heat... with the membrane side down... close the grill.... check in in about 30-45 mins... open a packet and see if the meat is pealing off the bone, if its not, just close it back up and check in 15 mins... if it is the its time to have fun, remove the grate with the ribs and put it somewhere safe, now seperate tthe charcoal to create an indirect heat setup (I just rake it to both sides and stick a big drip pan in the middle.) and throw in some soakedwood chips, whe they start to smoke put the grate with the ribs back on, and open up the packets at the top kind of like a baked potato, and let them cook indirectly for some 20-30 mins to get all that smoked flavor in. then just take 'em out of the foil give them a good basting and a few turns right on the grate to get the meat seared and the always so important grillid lines on the meat. Now sit bak and enjoy some excelent ribs that will come right off the bone.
BTW the heat is normally around 400* when cooking the ribs on the foil packets.
P.S. this was pretty long for a first post!!!