Good news - nearly all Finance PhD programs are fully funded. It's not a "scholarship", but you won't be paying tuition, and I have a feeling that's what you were concerned about. Normally, you'll perform research assistant duties in the finance department of the school you attend, and as compensation, the school will provide you with a stipend of somewhere between $15k-$30k per year on top of the fact that you won't be paying tuition.
You definitely have some things about your application working in your favor. You had an excellent undergrad GPA, and you were a math minor. In addition, you have a great quant GRE score. These both show that you can most likely handle the math coursework you'll see in a finance PhD program.
In terms of things you'll need to work on...the verbal score. Your math scores are definitely more highly weighted than the verbal score, but you will need to score in at least the 500s to look respectable. As you mentioned, your GPA in your grad program will probably be the clincher in keeping you out of a top 20 program, but the good news is you've already mentioned you're looking at programs from 30-50. The rankings, especially when you leave the top 20, become very debatable, so I would take a look at each of the rankings listed in the link below. Think about what topics within finance you'd like to study, and perhaps you can find a fit with a current professor at a school. Also, think about where each school is located, and if that geography works for you. For instance, if you enjoy the small college town lifestyle, you may not want to look at programs in New York City or Los Angeles. Good luck with the decision!
Financial Rounds: Rankings of Finance Doctoral Programs