Not every single state school, but most of them, like Texas, Rowan, UNECOM, MSUCOM, DMU, KCU, etc. For example, MSUCOM is regarded as the number 1 DO school by US News for primary care. You don't see PCOM or CCOM on that list. Even LECOM is ranked higher than those two.
And yes, even a new for profit MD school would still be better than DO school. A program director would take MD over DO if they both had the same board scores, same credentials, etc. For example, MGH won't even take DO's, period. That's why many people on here don't rank DO schools. What program directors like to see are good board scores, and good letters of recommendation. The connections you make also play a role. You're not coming from a top 20 MD school, so your school name won't really play much of a role here. All medical schools in the first two years prepare you for your Step 1 Exam. During that time, medical schools don't really matter, but it is imperative to choose a school that fits you in your study habits. What makes a difference between the schools is your 3rd and 4th years (your clinicals.) There is a HUGE variation between medical schools when it comes to clinicals. Some allow you to stay close to the school with an affiliated year long hospital, while others may make you move around a lot to different sites (which is a PITA, imo.) These clinicals allow you to make connections to the hospitals that you might end up doing residency at. It is your time to impress those attendings and program directors. This is where generally all the established schools shine in, including PCOM.
You can ask some people on here, and I remember reading a post where someone had a 255+ on his USMLE Step 1 from a DO school, and was denied interviews over an MD with only 230 on USMLE.
I don't want you to get the wrong idea here, but you really need to do some more research and reading on this site. There are a lot of helpful information on here that could answer all your questions. That's why I mentioned earlier what you're asking isn't really what's important for your future. Your medical school is just a stepping stone to your residency, which is what's REALLY important.
Again, I'll say PCOM is a great school. It is one of the best DO programs, and is relatively cheaper compared to other DO schools. If you get into PCOM, I would say go there without a doubt. I would say the same for CCOM if money wasn't an issue. That's why when you say 'best,' well, that's subjective. You need to consider cost, curriculum that fits you, location where you want to do residency, etc.
For example, someone who wants to do residency in California might not like PCOM, because most of the graduates stay within the area for residency in the northeast.