https://garden.org/plants/sear...
here it is the database, yes there are several varieties, including white.

I'm borderline between zone 5 and 6 and my soil is kind of heavy-with clay. so I need plants that are invasive just to keep it alive

did not know it grew on runners.

I did have monarda but it got really tall and spread everywhere. I am now trying to eradicate it. Mostly becasue it was really brittle and broke off everytime the wind puffed. I didn't mind it spreading too bad, it can be pulled out, got to pull something out, either weeds or plants right?

Frilly Lilly do you have Red Monarda? If so and your'e pulling it out I'd take it! I have lavender and Magenta but am having a horrible time finding red.

I got some Alpine Sea Holly (Eryngium Alpinum Superbum) seeds from Sample Seeds. They have a horrendously long process to get them to germinate, which I followed, but still nothing came up.

glad to know that about the seeds.

well no, mine is a hot pinkish color, and most of it is killed out now, sorry!
It does come up everywhere though, a member of the mint family (? I think ) w a square stem.

Yes it is a member of the mint family. I have lavender and Magenta will keep looking for red. They smell so good too!