Sounds more hectic than it is, very easy to hand pollenate, just use a small paint brush and go through them... Apparently they are also pollinated by bats, which we have in the area.
Mom has blackberries in green houses, a lot of them, and she hand pollinates them, just takes a paintbrush and runs over the flowers... She says it's a simple procedure, while you tuck in stems and check plants.... A sort of all in one job!