Chemical Engineering will make good pay: you should actually be able to save some of that, but yeah, assume an even break in terms of considering NEU financially. It most certainly won’t be an additional expense.
For what it’s worth, when I toured the school, I stayed with a NEU grad working at Merck - he had his second co-op there and got a full-time job offer from them when he graduated.
Best of luck! As many on CC repeat often, be careful with any loan options in particular - there are many great schools out there. Were you admitted EA or into the USP?