They make translucent woven pollen bags for breeding. PBS Pollination Bags.
You can make a simple chamber with a hepa filter exhaust, @GrowHard had one made out of a clear storage container.
But if you don’t grow to sell flower, it doesn’t matter if you get pollen everywhere, assuming you’re only doing one pollination at a time. It only lasts a few days once it’s released, and once the male is dead it’s over.
@Peg it doesn’t last forever…shelf life of pollen even frozen is limited. They might keep that male around potentially for decades though.