I take a different approach. Since you and your brother have already proven a full sibling relationship with auDNA, and he has taken a yDNA test, then there is no doubt that any 2nd cousin male or closer on your father's line should not need to take a yDNA test because the auDNA will confirm the same relationships and more.
Whoever you test, I would test at AncestryDNA and transfer the Raw Data to FTDNA for Free. Two for One. If you decide you want the additional tools FTDNA holds back, the cost is only $19 per kit.
I am also a big believer in the more you test and the more places you test, the better. Prioritize by age so that the older the person, the higher the priority.
I would also look for promotions at 23andme (they don't happen often) and at least subscribe your mother and then yourself.