Hi,I know you are disappointed about your GRE Verbal but I think you may want to step back a bit before you dump in $200 or whatever the cost is. You are applying to Ph.D programs in Applied Math. Don't you think they'd care more about things like GPA, SOP's, Recommendations, Research Experience, Grad classes, etc. (all of which seem to be solid in your case) than something like the fact that you got above 50th percentile in the GRE Verbal?
I understand, you want to get into a Top 10 school. You want to look as competitive as possible for the applicant pool. Yes, if you got a 160 instead of a 152 you would technically be a better applicant all else being equal. But the fact is a ton of people get rejected from these schools, whether they have V150+, V160+, or even V170. Conversely, these schools have taken students with ~V150 over those with ~V170. They have also taken students with 3.8 GPA's and 75% MGRE and rejected those with 4.0 GPA's and 90% MGRE scores. This can be observed by looking at applicant profiles here on this website.
My point is that these schools will accept very, very few people. What exactly makes the schools accept certain students I couldn't tell you, but it certainly doesn't seem to be the Verbal GRE. Your chances would be higher if you did better on the VGRE, but it would be something like a .001% difference. Whether this is "significant" compared to their already really-low acceptance rates, and whether you have the time and money, is up to you.
I would say you have a good shot of getting in with the stats you already have (they are certainly better than mine). I would say that if you applied to the Top 10 schools, you would get into at least 1-2 of them. Whether you get into more or less, I think would depend on your LoR's and SOP, not your VGRE score.