I would advise you, and all people looking at medical schools, to carefully evaluate tuition, cost of living, financial aid, and expected debt load you will incur. A private medical school may cost you $250K while a state school may be as little as 30K. Being in a lot of debt is stressful (as if medical school isn't already) and will hurt you as you have to start paying it back in residency. You will easily pay back double the amount of your loan over 30 years.
While a "top tier" medical school will open some doors it is by far not the biggest factor in obtaining a good orthopaedic residency. If you look at any top residency program you will see that residents come from a wide variety of medical schools both in terms of "ranking" and geography. USMLE scores are meant to normalize students from different schools and away rotations, AOA, LOR, and research are more important as well.
Choosing a medical school should be a cost vs. benefit analysis and is subjective so only you can do this. Personally, I would choose a good state school anyday over a private school if it meant I would be saving half a million dollars in the long run. Additionally, it's nice to be close to home during medical school as you have a better support system. On the other hand, there's a lot to be said living in a cool city for 4 years. Hope this helps.
Best of luck and congrats!