AppleGK, I think you would need to take the MArch 2 year at a min.  The "BArch" they assume is a professional US qualification - NAAB accredited programme.  NAAB BArch Students can sit for the exam without further degree.  Your International BArch would then be equivalent to a US BA or BS - non professional degree.  You should apply to the MArch 2 year track.

My international degree is a valid admission criteria for all post-professional programs; however, opting for a non NAAB accredited one will rule out licensure (as you rightly mentioned), which is not my highest priority. Assuming that factor to be out of the picture, what do you suggest would be a better option? I'm quite keen on applying to the MArch but I'm not sure whether they would rather encourage those of us with a five year undergrad to go for the MS instead. 

I have an M.Arch II from michigan.
 
Even if you have a B.Arch from the US you can be accepted to the M.Arch II. It's a professional degree, but they do not discriminate against those who have previous Professional B.Archs. Of course your degree is not accredited, so even if they did it would be fine.

Thank you :) I've sent them a mail just to confirm, but this helps a lot!

@natematt

An "M.Arch II" is generally understood to mean a "post-professional," non-NAAB-accredited advanced degree for those who already hold a "first-professional" degree (a B.Arch or an M.Arch), and it is not offered at Michigan.

If you have an M.Arch from Michigan, it's not an M.Arch II as that term is commonly understood.

It depends on what you want to do:
If you want to teach in college, then forget about Master Degrees, and just go for a Ph.D. directly.
If you want to get an architect's license and practice in the US, check out the board requirements for the state that you want to practice in, and pick the program that will help you get the license.
The sooner you decide, the better for you.

@place

yes and no. Good catch though.

I have what was called a MArch 2G there, or just a Two-Year MArch. Which is meant for those with previous degrees in architecture. It is a professional degree that can be done on top of a BArch, or BSArch, or even in rare cases a BAArch. They have a 3G, or three-year MArch, for people with non-arch degrees, or who lack the qualifying credentials for the 2G.

However, the titles for these degrees are arbitrary and at the discretion of each school. At Harvard and Yale an "MArch II" is a post professional degree, at SCI-Arc and Cincinnati the "MArch 2" is a professional degree on par with the 2G at michigan.

But you are right, Michigan does not call it that, and I don't typically either. Sorry for any confusion, I was just trying to draw the parallel because the inconsistency of schools is laughable.

 

They are at the discretion of each school, but in general (not just at Harvard and Yale), an M.Arch II is a post-professional degree. Schools like Michigan and Cincinnati that use other titles are the exception. 

Fair. I can only really reference a small number of schools which I am familiar with. Honestly, I think that the obvious logical organization is that "I" be the professional and "II" be the post-professional. They can just have tracks in the professional to differentiate background.

Anyway,  I still maintain that the OP would be qualified to do the two-year program at Michigan.