Where in the US can I buy alayne clare bulbs?

It looks like it's a UK bred daylily so it's not available here most likely. Many in Europe import daylilies from the U.S. because all the major hybridizers are here but I don't know anyone importing them the other way around. Is there a particular reason you want this one?

The reason I want Alayne Clare is that my name is Alayne!

Ahhh, bet you were excited to see something with your name as it's a different spelling, too bad you can't get the plant here.

Alayne,
to ATP!
Something you could do is hybridize and register your own daylily and name it Alayne!
Alayne's Prize, Alayne's Pick, however you want to name it! Registration is pretty streamlined now. You would need to send a description of the plant and pay $15 (I think that's how much it is now) and it would be official. You can even reserve a name for a number of years until you have a plant that fits the chosen name.
If you have not collected seeds this year, or haven't crossed any, you can always buy seeds from good crosses on the lily auction.

Thanks for the suggestion Cindix. I may do that!