A quick google search pulled this up. It might be a good option for you in a combination rifle bag / shooting mat.
https://www.amazon.com/VISM-NcStar-R.../dp/B003OBGI3A
As far as just a range bag, I have been very happy with this one.
https://www.midwayusa.com/product/1020438366
It's rather large. There is a more compact version that is nice, too.