Well, at least for business schools, it's hard to say who would be a "traditional applicant". We really have a lot of different people. Regarding age, for example, I'm 46, and I'm not the oldest at my school.
I'm not sure what kind of research you intend to do. But there is a good chance that, even for business schools, you will need to "renew" that old math from undergrad and grad. I had not really done much stuff like matrices and derivatives for a long time, so I struggled with that.
GRE is clearly something high in priority, since you don't have a valid score yet. PhD applicants are getting very good scores, and it would be a shame to let a low score be an obstacle for you, as your profile seems strong.
If you haven't narrowed your research interests down yet, then trying to get the best list of schools to apply is also something to do. Research fit is very important when choosing a school, and that's something you only can do after you have a solid idea about your research interests.
I'm also not sure what kind of course you plan to take in Fall. But if it will help you to make a stronger case for your research interests, and get you a good letter of recommendation, then I think it's a good plan. Since you have been out of school for a long time, getting 3 good letters of recommendation is probably a challenge.
Personal statement is not really something relevant. The Statement of Purpose is much more important than the personal statement. You gotta be ready to provide some answers that can be related with someone of your age, like potentially facing a huge drop in income, whether you have been up to date with coding skills, why did it take you so long to decide to do a PhD.