I do not have your other Hymenocallis cultivar but I have, H. festalis, loves as much sun as it can get. I get my blooms in June or July. Needs lots of watering here to really coax it to push that bloomstalk out. Our area too is very dry, so I have learned to really give it stepped up watering once I see the new leaves show. The area it is in gets part sun and part shade, since we get the shade of city trees, so the stalk really grows very tall, trying to get as much sun it can get.
Right now it is on leafing stage..hopefully next week when our temps returns to the usual warmer level, it will try to grow the bloomstalks as well. I have planted this in a larger container since the bulbs are quite big.