@Kizee
CMG is right, generally. I've done considerable research on this as I had, (note the past tense), ambitions of my own. Allow me to share some of what I found out here.
First, forget all that KEMU & KU shit. The best LOCAL alternative for a career as a Quant would be -
BSc. Financial Engineering offered at JKUAT.
Peep the course content at this link:
http://www.jkuat.ac.ke/programme.php?id=74
You mentioned that your undergrad wasn't in a hard science: Find below the class profile for the 2010 MFE Program at Berkeley:
MAJORSEngineering 40%
Mathematics 17%
Business 9%
Natural Sciences 8%
Computer Science 6%
Humanities 3%
Economics 5%
Finance 3%
MBA 3%
Other 3%
Undergraduate isn't as important; just demonstrate that you're good at math & can program.
As Regards JKUAT, I'm guessing Kizee, that you're not planning to go back to undergrad (& full-time at that) so your best option would be an MFE of MSc - Financial Mathematics. My question to you is, do you plan to work locally or "abroad"?
Why that matters is because if you're planning to work locally, you can, I believe, "get away with much less" i.e might as well go for CQF which would be rare & highly regarded here or elsewhere on the continent versus "abroad".
If you're intent on doing a Masters program "abroad", I'd advice you to consider Europe and not the U.S.... (e.g UK - Manchester, ICMA Cass [quite popular in Kenya] etc, Italy - Bocconi, Switzerland - EHT etc as the courses are less competitive, pocket friendlier, take a much shorter duration (even 9 months Full Time) and most institutions have in the past been more generous w/financial aid.
Prerequisites:The fact that you don't have solid math credentials might complicate things for you. Most of these Quantitative Finance programs do give a refresher/ Math primer the first week or 2 of study but if that's all you're depending on, you're likely to fail.
At the very minimum, you do need to be very familiar with Matrices, Vectors, Linear Algebra 1, 2 ; Calculus 1,2,3; Probability & Statistics, Numerical Analysis ...as these will form the core of your study ...(I might have left some out) .
Here is a sample math test offered at the end of a CQF Math primer, if this doesn't intimidate you, (ignore numbers 18 - 20

) you're good to go.
http://www.7city.com/pdf/cqf/maths_test.pdf
You also need to be more than familiar with object oriented programing specifically "MATLAB" , "R", "C++", "Java" ... no one will touch you if u can't program.
Good Luck!