This is my area of expertise: I had a similar issue and resolved it in my favor. Things to be aware of:
1. The Board passes the buck on this issue, saying it is up to the school to determine if the course fulfills the requirements, then shoot it down if necessary. If you view their listing you will see it has no consistency between colleges. Since your professor is supporting you, you may have already won this battle.
2. You may have to escalate to your schools Dean/Chairman of the accounting program if they reject the professors letter. I would feel optimistic about the Chairman/Dean helping since the professor is helping.
3. If the board rejects the letter and your school drops the ball, prepare for a long correspondence war with the state board. Prepare a letter to your contact at the state board and Director Hiller laying out your position logically, with reference to the syllabus and classes.
4. Look at the bylaws. I believe one class can't provide 2 hours of credit for both ethics and writing. You might need to root around for another writing class. I noticed that senior business capstone courses have been used for writing before.
5. Consider becoming a CPA in Michigan and applying for reciprocity here?
In conclusion, since it seems like your school is on your side, try to work with them for them to submit courses that would fulfill Texas requirements. WARNING: the State Board does not accept lower division courses to fulfill this requirement, so that could also screw you. But, don't give up easily. Make them categorically deny you.
Good luck. Business Communicate the shit out them.
FAR: 83
AUD: 89
REG: Post busy season
BEC: Post busy season