A. Your situation is an ideal application of Y-DNA testing, especially since you’ve already developed a theory to test.
Y-chromosome tests come in a variety of “resolutions.” Just as higher-resolution printers provide a clearer picture, higher-resolution tests provide greater accuracy. Resolution is measured in ‘markers,’ or locations on the Y-chromosome. The more markers the test evaluates, the higher its resolution.
In your situation, a basic 10- to 15-marker test would probably be sufficient to determine whether you’re related to your suspected cousin. That’s because you’re simply looking for a haplotype match, rather than trying to estimate the number of generations back to a common ancestor. (Haplotype is the term for a set of Y-DNA test results.) But I’d suggest that you opt for a mid-range test of 23 to 25 markers. This will reduce the possibility of a false-positive match. Although it’s extremely rare for two unrelated men to match closely on even a low-resolution test, it can happen if your haplotype should prove to be a very common one. (Like surnames, some haplotypes are more common than others.) Given the personal importance of this test, I’d take the extra precaution.