Thanks everyone for the answers! Appreciated

Using a XLR or miniXLR is not an option as all my gear (except a lavalier microphone that I don't use to tape) is currently 3'5mm-terminated.
Getting my CAFS re-terminated into a right angle plug is on the to-do list as I positively know it drastically reduces the risk of the plug snapping off the jack. I've used a right-angle 3'5 mm CA14s many months without a single slip-off, but the straight-plug CAFS have already had this problem twice in less than two months of use.
Thanks for the
right-angle adaptor suggestion, uncleyug, much appreciated and probably what I'm most keen to do for the moment. I can use this option to extend a bit the slightly short CAFS length as well (using a right-angle male<female cable).
Using tape is not my favorite option since it can leave some residue or cause unwanted tensions in the cable when getting it off the mics and BB. Also, taping down a straight (and not right-angle) jack is not the safest way to stuck it into place IMO.
Bean, what do you mean with rubber bands? I can't figure out in my mind how a rubber band can help the mics to stay plugged...