If she’s interested in Kentucky, she should consider U of Louisville. She qualifies for this award as a NJ resident, which should get her in-state tuition, or close to it. This will probably meet your budget. I know people who did the honors program and loved it. It has a med school, so all the nursing/med stuff is solid. It’s direct entry. Last year, their admissions and honors decision turnaround was super-fast.
I think you should place a premium on direct-entry programs. I say this as someone who has taught freshman nursing students. Your kid will likely be fine regardless, but that uncertainty can be SO stressful when nursing school is hard enough as it is.