i would have to agree with hat was previously stated. the most important thing for you to do is to get into medical school. because if you don't, then our discussion is moot. as for big name programs in different medical schools, that is also a moot discussion. we could go back and forth on which program is better and i could dispute wahoos list of top programs, but this is not the point. your objective should be
1 get into medical school
2 do well in your 1-2 years and USMLE step 1
3 research (this should begin during or before the 1-2 years of med school)
4 do well in your clinical year (3rd year)
5 away rotations (chosen based on your competitiveness)
6 orthopaedic application
my opinion, and yes it is only my opinion, is that you should prioritize them in that order. because if you don't do 1, 2 is moot; if you don't do 2, 3 is moot, etc.. these are just guidelines.
as for medical schools with programs that are well recognized, the programs that wahoos listed, as well as many others have nationally recognized members. that is important for LOR's and research experience. but, those experiences can also be gained with a summer research project.
if your goal is to be an academic giant, it is best to go to a very academic program (research). if you goal is to be a good/great clinical orthopaedic surgeon, then most programs will provide you with that education. very academic programs tend to have more well recognized names. for instance harvard will quote having many chairman coming from their program. but does that mean that the produce great orthopaedic surgeons or more surgeons that are politically motivated? some would argue that grads from very academic programs lag behind come community programs interims of surgical skill.
so, to answer the OP's question. you should go to the best medical school you are accepted to that fits you learning style and personality that has a good orthopaedic program.