some good advice by scott crazy. a couple things, i wouldn't use foundation in the brood chambers with no flow on, i would use drawn comb if you have it, although i have done as scott has, placed one frame of foundation in the 2nd deep. you don't want to have to feed them to draw foundation in the brood chamber, they ignore it sometimes or they start plugging up the brood chamber with syrup, so if you have to feed watch this closely. best place to utilize foundation, and employ the bees and help keep them from swarming, is to place one or two supers on full of foundation. like scott said space above them. i have fed them to get them started on the supers when no flow is on, and as soon as the flow starts, dandelions, i pull feed off. they don't need it.
keep the brood nests open, this might require, as scott said reversal of the boxes, and also rearranging of frames if need be, and space above.
i have been in your shoes, and am this year, queens coming june 5th...... one hive with a double deep we placed a 3rd deep on top. didn't reverse. the 3rd deep is all drawn comb with the exception of 2 honey frames. the hive is light and no flow here for several weeks. if we need to add additional honey frames they will go in. if the bees start going gang busters and the flow is good, i will see about adding a super on top to keep them busy until the queens arrive. this hive will be divided at that time. (mind you i am keeping bees through the eyes of another.....
). this does work, although a PITA with 3 deeps.
in the past i have as i said, put supers of foundation on top of double deeps, if you do keep the queen excluder off.