I am in veterinary school and have taken a few genetics classes. I have always wondered about this, and I think it would be an awesome project. Here is how I would approach it, though realize I am not an expert on the subject, so excuse me for any errors in judgement! I would use the GWAS approach (Genome Wide Association Study). You would need a very large amount of balls though. First I would sequence a whole bunch of normals (your control group). I would probably pick a recessive morph next since the mutation is likely to be a simple singe gene mutation (albino is perfect- I believe "albino" is caused by a problem with making eumelanin although the animal can still make pheomelanin- beside the point but very interesting!). I would sequence a bunch of albinos and then use computers to compare the genes of the two. You could essentially use this technique on any morph, but in the time you have I would limit it to one simple morph to start. Maybe it would make some good research once you get into the University (because you will!). Anyway, if you know the sequence and can pin point the exact locus of the gene in question, it opens so many doors to other research possibilities...

Good luck! I envy your potential research