Probably not because all their other teams are DIII....
I think Clarkson hockey recruits the best Canadians and the best Americans. Their old Asst Coach was an American (now the head of USA hockey recruiting). Their new assistant was Team USA's captain.
I think the real issue is that Canadian girls like the location of Clarkson far more than US girls. Because of the high demand from Canadians, Clarkson is able to secure a large amount of elite Canadian girls (check out their recruiting the last few years). Elite US girls seem to choose BC, UM, UW, Ivy etc. If Clarkson could get an elite US kid interested in committing, I'm sure they'd take them. But, if they continue to get a significantly high number of Elite Canadian girls going there, there is no reason to recruit less talented US girls who is interested just to get an American.
[Yes, agree with previous post - same point I am making].