Congratulations! Let us know how the fostering goes.
As far as how long should you wait after surgery to introduce: Most hormones die down in about a month. So I would do it then. But after a couple of weeks, you could start doing "prep' moves. Like switching litterboxes, and or blankets, etc, or even switching cages to get them used to the others' scent. IF you put their pens/cages near each other just be sure that they can't give each other a nasty bit through the pen/cage. Rabbits can seriously bit each other's face.
Her recovery will be about a week. The first few days will be the hardest.
Regarding using a cardboard box. Some bunnies can chew a hole in a cardboard box soo fast. I remember when I was doing transport for Animal Care and Control to SaveABunny, and they gave me one of those standard cardboard carriers. Well the bunny proceeded to chew her way right out of the box, and I was flying down the freeway with a bunny who was freaking out trying to jump through a glass window. Needless to say I was freaking out, and had to quickly exit to get things under control. I now always carry a plastic one just in case I ever transport another crazy escapee.
Regarding when you bring him home. There most likely will be mark wars. So far I have been lucky to only have experienced poop wars, and not crazy spray wars. But some ideas are to get cheap plastic place mats, and bunch of clips. You can use them to put them over an area horizontally and vertically that a bunny wants to mark. The plastic protects and it's easy to wipe off.
I'm keeping my fingers crossed for you!!! Keep us updated.