Any manager who does their job well should want you to sign a contract. It's difficult to answer your question directly though, because you haven't shared what you want a manager to do for you. Without specifics, people are forced to guess; and peoples guesses are usually wrong. Therefore, I'll just share what I've learned and you can do what you want.
A managers job is to do the things you're unable to do yourself. Artist listen to managers because they lack Business Management experience. Notice that I said unable and not unwilling, there's clear difference between the two. Unable means you don't know how to manage the tremendous amount of work you've taken on. This is were a good Entertainment Business Manager comes into play. They manage your schedule, help find gigs, take your calls, etc. Most managers take 10% to 15% of your earnings weekly or monthly earnings. I don't know how much you make from performances, affiliations, sponsorships, or endorsements. Be suspicious of anyone who wants to manage you when you're not making money. This usually means that you're about to work for less than you're worth.
If your simply unwilling to do the work yourself, then you're killing your own career. Nobody can represent you better than you. Most managers can only find work for you if you're already working. You may be able to find an intern or amateur to work with you, in order to simply for experience; however, this does little for your career or any other earnings you want collect in this business.
Like I said, I'm not sure what you're looking for specifically. I don't even know what your doing to making entertainment managers contact you. Elaborate on this topic and we can get into more detail.
