I understand where you are coming from. If you are at terms with the life than you should take it. Have you watched the 60 Minutes episode regarding the missileers. It is not a hatchet piece. They interview young officers that are missileers.
The career field is a pressure cooker regarding exams.
If you plan to use TA to get for your masters, realize that you will owe more than 4 years. It runs concurrent with your AFSC, but every time you take money you owe time back. The first year of your career will be learning your career. So, let's assume that you start classes after 15 months ADAF. Assume that you take it the last time at 2 1/2 year marker. You are now in for 5 1/2 years. The twist comes if they move you at the 4 year marker. You owe more than a year so they own you and you can't do a non-vol. PCS. You will now be at the 7 year marker before you can bolt.
Also the clock does not start ticking until you report. I don't know the wait for a nuke school slot, but it could be 6-9 months. So really if you don't time it all perfectly you will be in until @30 before you get out, not the 26 that you are thinking. You can start your masters why you wait, but you won't be eligible for TA, so it would be out of pocket, plus you will probably need to stop for a while when you start your career.
I would also ask if they have a commitment owed for going to nuke school. Some schools do require a payback and that clock does not start until you graduate from the school. IE, you wait 6 months to go to nuke school. School is 6 months long, and they require a 5 year payback. That puts you at 6 years after commissioning.
Just saying look at all of the details before you opt this path because college and AFROTC is not 24/7/365.. ADAF is. It is a life they will decide where you live and whether you will be able to go home for Xmas or Thanksgiving.