If you are already familiar with the Dhamma and suttas (as you must be if you have finished the DN) it doesn't matter so much what order you read them in. I don't think Bhante's order includes every single sutta, so you would want to make sure you picked up any that you had missed at the end.
On this pagehttp://readingfaithfully.org/majjhima-n ... -practice/
There is a slightly modified beginning-to-end order that starts you in the section with similies and puts off reading MN 1 till you have a few under your belt. But this is only necessary if you have never read suttas before.
As Hickersonia said, reading more than once is necessary. For simplicity sake, reading one to 152 is easiest. The traditional order is not completely random so you will see some affinity between suttas that are located together.
But if your plan is to listen to all of Bhante's lectures, then you would want to take them in order.
Because I believe there are few problems that can't be solved by forms, I created a simple checklist a while ago for each of the suttas in the MN. I guess I was thinking it would be useful if someone was reading them out of order. But it could be a case of a solution in search of a problem.
Any way, I have attached it. Let me know if it is helpful.