[VandalSquirrel]

Why not get in touch with current members and alumni (not just of your chapter but of your entire organization because you never know who has a cousin, nephew, son, headed to UWM) and ask them for names of men who may be attending your school in the fall, or who already are students and aren't greek. Plan an event in areas with alumni and potential members and they may invite friends they know who are also going to school there or to another school with your organization so you can pass their name along to that chapter if they are suitable.

I'm not sure if you have access to a list of incoming students or if events are held around the state but that may also be a jumping off point. The men at my school do summer events and a lot of it is done through current and alum members and can be a variety of activities such as BBQs, rafting, golf, etc.