JJC DLP-7 lens case fits my Sony GM 70-200mm with Sony a7 camera attached

The JJC DLP-7 lens case fits my Sony GM 70-200mm with Sony a7 camera attached. It's a tight fit, so I would not think it would fit your camera with a battery grip. I also padded the bottom using the padding from my 70-200mm Sony case that came with the lens. Overall, I'm very happy that it fits snugly, and I only found out that this case is supposed to come with a shoulder strap. I got it "used" from Amazon, and it didn't have a shoulder strap... but I'm not that angry because I didn't pay full price and I'm just glad that I have a padded carrying case.
If you want to buy it new, it's $20 (I would have guessed it was $40 based on the material and niche market) on Amazon: amzn.to/42vbWOK