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You do not need to cut the flowering stalk off. This will be replaced by vegetative growth after a rest period. After it's short dormancy, it will shoot out vegetative growth, and then a flower again in late summer.

This article will give you more information on this plant: https://www.gardeningknowhow.com/ornamental/bulbs/dragon-arum-lily/growing-dragon-arums.htm

Yes the lily and plant will die back to the ground.

https://www.gardeningknowhow.com/ornamental/bulbs/dragon-arum-lily/growing-dragon-arums.htm

Flowers successfully pollinated by flies develop red berries. When these soften, press them 1 inch deep in propagating mix. Wear gloves as the fruit juice may stain or cause irritation. Grow for one year before potting plants individually. Seeds can also be sown directly into garden beds.

https://www.gardeningknowhow.com/houseplants/voodoo-lily/voodoo-lily-information.htm

I'm afraid that these plants are not quite suited for your area. They tend to do better in zones 8 and under. They will require the cooler temperatures of winter to flower properly.

Now, that is not to say that you will never see a bloom. After several years at full maturity, they can start to flower regardless of conditions, but it will be much less often.

You can try storing the tubers in the refrigerator during the hottest portions of the year, and replant them during the cooler portion. This can simulate a "winter" and help them to flower.

This article will give you more information on the care of these plants: https://www.gardeningknowhow.com/ornamental/bulbs/dragon-arum-lily/growing-dragon-arums.htm

Place the roots in dry peat moss or vermiculite in a sturdy cardboard box. The peat moss will slow the loss of moisture from the roots and keep them from shriveling. Store the box at about 45 degrees F. (never below freezing) in a garage, crawl space, or basement. Warmer temperatures allow the roots to sprout in midwinter, and you don't want that to happen.

It seems that the reason there aren't many results is that they are using a less known term for the flower. Dracunculus vulgaris it its scientific name. There are many forms and colors, and most online places carry the seeds bulbs, and live plants. They can also be located using the term "Voodoo Lily". Be aware that all plants in the arum family are very smelly. All of them carry a smell of rotting meat, or flesh as they bloom.

Here is an article for their care: https://www.gardeningknowhow.com/houseplants/voodoo-lily/voodoo-lily-information.htm