Water...please tell me it's gonna be ok!

It wouldn't hurt to call the manufacturer and explain what happened and what you've done so far to mitigate the damage. I would think they would be able tell you exactly what materials were used in your tt's construction and what impact the soaking will have on them -- and hopefully give you some good advice on what to do going forward.

I'm hoping for the best for you, that you're out and about in it quickly and inexpensively.