Yes but be sure what is needed. It’s not just always applying. For example for you to afford Nova, you need the Presidential. Look at the requirement even for consideration.
Regular merit won’t get you to your if you say they show $35k and often merit and need don’t stack. Not trying to dissuade you but I’m, from experience, warning that you could very well be wasting time.
Ps the UVA and UNC scholarships are brutal to get. Even admission is brutal but both do award to OOS.
As you’ll see in the link from Nova below, don’t assume that you get consideration. Look at each school’s aid page in detail. When you open the link click on presidential.