Sounds like an excellent plan. I was out early this morning watering approximately three dozen orchids, a dozen tillandsias (I have just about sold all I have), and fifty or so miscellaneous tropical plants that are either hanging under or sitting under several large oak trees. My watering is very scientific. I spray everything down with a garden hose!
Generally speaking, the "mother" tillandsia will flower before starting pups. Apparently the flowering triggers the propagation cycle. Some of my tillandsia will flower for a month but it will take a couple of years for the mother plant to finally wither and die. She will have lots of time to form pups during that time. None of my plants have died within 6 mo. of flowering and all have formed pups, at least those that I hang onto long enough. Often I sell them while in flower and thus never see the pups form, but I am sure they did. I have never had anyone complain about lack of pup formation.
