Also 27, also an engineer, also living in NYS ....
I recently took a new job back in Sept which required me moving (again). Though I wasn't living with the parents, I did have to leave very good friends and a few great co-workers. So far, this move and new adventure couldn't have been better. I took the new job for my own good and well being. Of course if I tried to keep close to home, this would never happen. Branch out dude, you'll never know what's out there unless you go for it. You can always revisit family.
When I was applying for new jobs I was getting emails/phone calls at LEAST 4-5 times a week by recruiters via LinkedIn & indeed/monster, etc. The offers were all over the country. If you don't have a LinkedIn, get one. I am sure you'll get plenty of bites.
Also, FWIW, I don't see why anyone is looking to buy a house in NY right now. Unless you've got millions stashed away or filthy rich parents - go south. 3x more house with 1/3 of the taxes.... wait, what?