Do you know when and where your Tundra was built? That really sucks. Do and search and you will see you are not alone. It's only a handful but it must be a pain not to have your truck. Hopefully they will set you up with a platimun extended warranty for your troubles....and a Tundra loner while you wait.
ToyotaFinancial.com - New Vehicle Protection Plans
On a side note...I was on the phone with Toyota Finacial today.....great customer service. No long wait and I got to speak with a real live human...and not a guy named Dave from India.
Anyways...good luck with the tranny and keep us posted.