The problem with offbeat openings like the Chigorin is not the openings themselves. It is the fact that people think that by playing them, you avoid theory. This could not be further from the truth.
Playing the Chigorin requires razor sharp knowledge of the major forcing lines otherwise you will be far worse. For example:
In conclusion, black cannot play the chigorin to avoid theory. If you want to avoid theory - go for the most objectively sound openings that there are. Then it probably wont matter too much if you play sub-optimal moves.
It's interesting that GM Vassilios Kotronias (peak FIDE rating 2628) states that in his opinion 3...c5 (Tarrasch Defense) is as good as 3...Nf6 and 3...c6 and from a practical point of view 3...c5 might be better.