Couldn't you dress yourself as a highly religious woman (using a burka)? You wear an attire covering your entire body, right? Not sure what rights religious people enjoy, but maybe you could pass as a woman.
Someone would stop you somewhere and ask WTF are you woman doing without your man, wait a minute, are you really a woman? Bang. Better be safe than sorry.
Also I dont believe it is very common with burkas in Syria.