I bag my bud heads with Agribon-AG15. The blossoms naturally dry, fall off, and accumulate within the bud bags. The entire head, inside the bag, is then hung inverted in the shed to complete drying. When the seed pods are fully dried and ready for seed extraction, I carefully open the bud bag, remove the dried blossoms from it, and save the blossoms in a quart size Zip Lock freezer bag. Any time there is an open space in a kiln, I place a bag of dried blossoms into the kiln with the Zip opening rolled down, to keep it open. The blossoms are then kilned for 1 month, same as for leaf.
My experience with separately processed blossoms of 16 different varieties of tobacco is that the blossoms of each variety have their distinct aroma and taste, though all tend toward a slight, mild floral quality. They burn very well on their own. I've rolled and smoked pure blossoms in a neutral cigar wrapper leaf, and smoked pure blossoms in a pipe. Where I think they are most interesting is as a minor blend component in an otherwise traditional cigar filler blend. For these, I lay-out the filler, then add a single row of blossoms, end to end, for the length of the filler.
Smoking the blossoms is not for everyone. It's also a little tedious to collect, kiln and store them for that occasional moment when they seem like a good idea.
Bob