It all depends on what your goals are. You noted that you are good with the center thrust limitation. I was as well.
So I went from a 172 straight to the 337. Bought mine, trained in mine and got my center thrust multi rating in mine. I would highly recommend this approach in my case, as I know I have no desire to fly a "regular" twin. I loved every moment of it and really got to know my plane.
Some folks have noted insurance issues without having the ME rating, but I didnt have any problems. I had about the same requirements you noted - needed 15 hours of dual, then 10 hours of solo time before carrying passengers. By the time I trained, flew both ways from OK (where I trained) to OH (for the check ride) and to Iowa (home) I met all the requirements and was ready to rock and roll.
Evaluate your situation and do what is best for you.
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