I don't get any sense that New York Institute of Technology is a particularly strong college. Based on US News rankings, it was #68 for local colleges in the North, which doesn't seem anything special.
The program you are referring to at New York Institute of Technology seems to be a combined BA/DO program with the New York College of Osteopathic medicine.
I found information about the program on this site.
There are a few threads on this site on BA/MD programs, but I'm far less familiar with the BA/DO programs. DO schools are typically much less selective than MD programs. Typically, if you are a strong enough candidate to get into the combined programs, you would be a very strong applicant when you are ready to graduate from your undergraduate program anyway. The requirements to apply for the combined BA/DO program don't seem overly competitive, compared to what I would expect at most combined programs. Given the high cost of their undergraduate program, I think you are much better off going to a decent school for a lot less money. If your local college is a decent school, your choice is pretty easy. If the local school is not strong and doesn't offer an adequate pre-med program, then I would suggest you look at other decent colleges that would be far cheaper than New York Institute of Technology.
I'm personally not familiar with these schools, so perhaps they are much better than I think. If there are other people who have opinions on this, they can feel free to add their comments in this thread.