I think that you are approaching your problem from a completely wrong angle. Actually, it is not only you, but most of the comments I have read in this discussion. Although many scholars prefer qualitative or quanitative methods, the position to somehow map the field of international relations or comparative politics along methodological faultlines is hugely problematic and, in my view, false. At the end of the day, as a political scientists, my research is driven my puzzles I want to solve and not by the method I prefer.
When I started out studying political science, I was highly sceptical about quanitative approaches (mainly because I never found much interest in math), but the longer I studied I realized how useful it is to learn new methods. I personally made the experience that every new skill I learned provided me with a different perspective on my questions. Being exposed to Social Network Analysis, QCA, GIS software, and more 'uncommon' methods like ethnomethodology or quantitative narrative analysis quite was super enriching for my development as a scholar. Nobody master the whole methodological skillbox, but knowing about their basic assumptions and mechanics is super useful. From this perspective, I think that simply saying. Simply saying I only do quant (or I only do qualitative) research is an unproductive attitude that does not move the discipline forward in any way.
Some of the best researchers I know have actually gone back and forth in using more qualitative and more quanitative approaches to international relations and comparative politics. One person that comes to my mind is Elizabeth Wood from Yale, who has done extensive fieldwork, formal modelling, and also a fair amount of more quant work (she actually has as a MA in Physics). There are also plenty of other constructivist-inspired scholars out that that have begun to creative look at more technical tools, like regression analysis or text-mining (Although many people are likely to disagree with this and say that positivist and constructivist ontologies underlie quantitative and qualitative methods, respectively). I know that in world systems theory people have begun to look at networks between states or NGOs. In the end, the strongest papers and books I know combine different methods, which makes them even stronger.
No matter which way you go, I would strongly encourage you to take some methods classes (even the more obscure ones). Also, technology becomes more important and provides interesting new perspectives to look at old problems and revisit unsolved puzzles, so you should try to keep yourself up to date.
As for gradschools, I you might want to look at Northwestern, OSU and Minnesota.