I know that pretty much every credited and decently reputable university has some sort of bioinformatics or biomathematics program. Even the school I currently attend, Indiana State University, which by the way is an absolutely shit school for ANYTHING except business adminstration, aviation and education, have a masters level bioinformatics degree, though I'm unsure about any PhD program. However, I know that Purdue has a program for it's computer science BA students to have what is called a "focus" (very common in majors like CS because of the breadth of where you can take it- also, criminology is very common to have 5 or 6 focuses as well) in bioinformatic data systems, and you can then pursue a masters or PhD with said focus.
Basically, even though none of that really answered your question, pretty much every university you go to will have some sort of bioinformatics / biomathematics (which by the way, I don't know if they're the same thing because I've always heard it called bioinformatics, which is the math behind biology... so I'm assuming there the same thing) program, and if they don't, they will DEFINITELY have CS / Math programs that are completely relevant to the study and very easy to get you into grad school on the basis of the only thing you didn't learn about bioinformatics was the application of principles you learned from your math classes to said field.
Also, most universities here in the US don't have specific requirements for transfer students beyond language certification. I.e., if you can speak decent English, which you can, then you'll be fine. Most of the Arabs in my Econ & CS classes right now can't speak a word of english at all and they're here so you'll be fine