Unfortunately, SWYPE's business model (as I understand it) is based on getting manufacturers to install the keyboard in their phones, not on dealing with individual customers. I believe they've made this work with the Droid X and another phone or two. SWYPE has had at least two "invitation only" beta releases where they made a beta release available to those who requested it (that was all you had to do to get an invitation). As I understand it, the beta was pretty well locked down to an individual email address and specific phone, I've had to reinstall it a couple of times and it was a minor nuisance to do so, even as a legitimate user. They also seem to have their betas expire after a certain period, usually when they have a new release they want to test. I'm sure it can be hacked, but I don't know how, and I'm sure the mods don't want it discussed. Unless SWYPE is doing another round of invitations for beta that I haven't heard about, I think you are out of luck till (if) they decide to do it again.
For what it is worth, a recent update "broke" SWYPE in the eyes of many people, including myself....I _LOVED_ the keyboard originally, but have stopped using it in frustration. I'm using SwiftKey now. Not as nifty as SWYPE when it works, but not as frustrating to "fight", either. SwiftKey doesn't use the dragging feature that may have attracted you to SWYPE. I have heard that a keyboard called SlideIT has a similar finger-dragging interface to SWYPE, but I have no experience with it.
I'm just the messenger here, reporting what I've seen and read, SWYPE's business plan isn't my idea.