Finding a bag big enough to carry around all three of those zooms is not exactly going to be discreet.
Which version of the 80-200 f/2.8, the AF-D or the AF-S? Probably doesn't make a huge difference; they're both big. I'm not even sure if Domke makes a bag that can fit an 80-200 attached to a camera. (I looked recently.)
Size-wise, my guess is you'd need to look at the ThinkTank Retrospective 20 or the Lowepro Pro Messenger 180 AW. (Think Tank and Lowepro make bags in all sorts of shapes and sizes, but these two are designed specifically to carry a 70-200 f/2.8 attached to a camera, so I'm guessing they'd also do fine with the 80-200 but can't guarantee.) I know some TT fans look upon the Lowepro version as a "cheap" knock-off, but Lowepro did make some changes in the design to improve functionality (nor is it cheap; I think both bags are around the same price).
When I compared the two at Adorama, I ended up with the LowePro Pro Messenger 180 AW because I liked the slightly more substantial padding, a rain cover that doesn't take up valuable real estate in the front pocket, and even the color ("slate grey"--which is more of a greenish grey--vs. the Pinestone; the Retrospective also comes in black and blue, but I didn't look at those).
Even so, the Lowepro 180 AW (and the TT Retrospective 20) is a big, square bag, and I only use it when I'm carrying the 70-200 f/2.8; otherwise, I use something smaller and lighter.
I don't have any specific advice regarding the best bag for the specific gear you want to carry, but I really like Domke bags. They are not like some of the fancy new fangled bags with lots of little storage pockets for this and that, extra zippered internal pockets, computer storage space, etc. They are just plain, rugged, well built bags with the basic features I need. I also like that they are made in the USA.
I have a retrospective 10 and it copes with my d600 with grip and 70-200 mounted.
I've not had reason to try yet, but will happily do so If it will help you, but suspect my 16-35 f/4 and 24-70 will also fit in it. I doubt that the 24-70 lens hood would squash in with the rest though
I think the 80-200/2.8 AFS and the 28-70/2.8 AFS are a little wider than the newer models. I am sure the 28-70 is wider than the 24-70. As a result, if your gear is a tight fit, then I would thing a Retrospective 20 may be the right option.
Shoot nature with respect and don't trample it or startle its inhabitants. :)
I'm probably late getting into this, but I recommend a Domke F-802 with a Tamrac padded liner. I used this combination earlier in the year for a coach tour of Israel. I carried a D700 attached to a 35-70/2.8 along with the push-pull version of an 80-200/2.8 with a Kirk tripod mount attached, a 20-35/2.8, and a Tamron 14/2.8-plus a P7000 compact. To carry the extra stuff like cards, chargers, etc., I attached two Domke F-901 pocket-type cases on each end of the bag. For travel through airports, I attached a Domke backpack strap (really made for the F2, F1x, etc.--but it works!) Also, the front pockets of the bag will hold a lot more than one might think. For travel hopping on and off the bus and walking through cities, the postal carrier pad really helped. I removed the F-901's once I was able to carry that gear in my suitcase for land travel. That helped with the weight on the shoulder and made the bag easier to keep to my side. It's the first time I've done a trip like this without my Mini-trekker, but I had no regrets. You get the ease of carrying backpack-style and the ease of working out of a slim shoulder bag. To the non-photographer, it looks like a computer bag or courier bag. --And, there's still a pocket for the I-pad.