Ganga shud just not be mentioned anywhere for any reason. Jagya dislikes Sanchi bcoz of her stupid, insensitive, abusive behaviour and her disrespect for his family and their ways.
Jagya also hates her pawing at him at all times. Henestly she is no better than Bala is with Ganga. Constantly looking for means to waylay the other party coz they have the hots for them.Jagya shud just back out of this rishta coz he's not comfortable and he feels stifled.Ganga has no place in this discussion. She has done nothing to incur the combined wrath of the 4 stupids - Sa,Su,Ira and Anandi.
But sanchi will bring ganga's name out of spite and anandi will not be able to explain as sanchi will not allow her to. Even sumitra will blame ganga only as she used to do for the last so many days.
So Jagya mentioning or not mentioning ganga's name will not at all make any difference.