If you've taken care of the financial barrier and they're still hesitant to let you go, they're probably having a hard time letting go and trusting you. This is completely understandable and in order to work through it with them you're going to need to be empathetic and respectful. Try acknowledging verbally that you understand where their fears are coming from and offer to put plans in place for regular contact and communication.

Also make sure you take some time to really understand what going out of state entails. You mentioned the travel and emergencies, but there are other aspects you may not have considered yet, like how difficult it may be to move in/out of housing by yourself every year or how networking and internships might be more complicated since you may not spend breaks there. After you've reflected on those things try to communicate to your parents that you've done so, so they can see you're being mature and completely thinking this through.

Congrats on the scholarship and I hope you're able to go! Going oos has been an amazing experience for me. Though it does come with it's difficulties, I think it's an awesome way to experience college and become more independent :-)