Work on your resume: Volunteer, shadow, and Extra. With those DAT scores, and turning in your application within the first week of applications, you'll be getting interviews no doubt.
It is difficult to give you an exact answer. However, I am willing to offer tips for improvements. The DAT scores are impressive (above average). I would challenge you to raise your GPA somehow (i.e. taking classes over the summer). Leadership opportunities in shadowing and volunteering are highly valuable because that will help you write your personal statement better and obtain awesome recommendation letters. If you are doing research, publications are great (be prepared to discuss them in interview if necessary). I would say you have a fair shot to obtain interview opportunities in schools where GPA averages are not very high (less than 3.5). Don't forget to apply as early as possible!
I think you can get interviews if you apply to 12-15 schools. Your GPA is below average while your DAT is excellent. You just need to apply in June. I would work on some extracurriculars so that you can talk about your most current activities in an interview.