I think the only area in the US where your plant will grow in the garden is in the bay area of California.
However, if you are looking for a bushy perennial with blue star-like flowers, you might be satisfied with one of the hardier Amsonia, aka bluestar. Each year, it grows a little larger, eventually becoming a neat 3x3' bush with clusters of blue starry flowers in late May/early June. Here is a site with pictures for your further information. At the site, type in Common Name: Eastern Bluestar, or change to Scientific Name and type Amsonia for even MORE varieties!
Hi! I've grown tweedia a couple of times and never had one make it through our winter, but it has self-sown a tiny bit. The seed pods are similar to milkweed -- long silky plumes with a seed on one end. Let them sow themselves this year and see what happens. Maybe we won't have such a harsh winter this year, you never know, you could have babies in the spring.
If you want them to live longer, I think you should try bringing one inside in a pot and keeping the white flies off of it. I do that with arctotis, and it seems like they have similar greyish fuzzy leaves, so who knows right? You could also try making a couple of cuttings. Good luck!
33Cat
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