Hey, I have one of those! no clue re the strain
Disclaimer: I tend to do everything wrong, unwittingly, of course, so take it for whatever it's (not) worth:
I don't force any of my amaryllis into dormancy, but when/if they choose to go there, I let them be until they choose to come out--translation--I let them dry out at the first sign of going dormant and start watering them again at the first sign of breaking dormancy or whenever I figure that it's been long enough. They are all potted and live in sunny windows; I forget to fertilize, but if I remember to feed them it is generally after blooming when they are being all leafy in the summer. They all tend to bloom for me Feb/March when the days start getting longer.
Papillon hasn't gone dormant for me, although it only had one scape in it's second year. Here are a couple pics from last Feb. The second bad pic shows that it is blooming while leafed out--i.e. not having been dormant, as well as a second scape.
