Given the lack of trust, 60 days for a foregone bill isn’t enough. Drop the secrecy from the draft process and let the truth come out as it is developed. Save the secrecy for the DoD.
In addition, nothing aside from fear says that they can’t bring the drafts out in the open. The TPA just provides the comment period for PR, not for actual objections.
That is exactly what TPA does. It makes Congress part of the process, restricts the President in what he can do, and requires him to regularly report on the negotiations to Congress. Without TPA, the public gets No review.