Canary has the forward handspring/kick combo and a fully charged Canary Cry.
 If you can time those and find the right opportunity, you can shut down zoning and get back in the fight. It's not particularly easy to do against everyone, but she's a character that at least has something of an option, some of them don't even have that. 
 I know what you mean by it's seeming like it's more prevalent in this game then others, and it is to some degree just based on the nature of certain characters, but this is sort of a ubiquitous thing with any fighting game, there's always certain characters that can shut down the rest of the cast. You just have to play in between those gaps.