Is it possible to buy a type of shares in a corporation that would legally limit myself to the right to collect income only?

Shareholders are not responsible for the management of a corporation.  Many people own shares in IBM, Microsoft, Apple, etc. and have no management responsibilities whatsoever.  Management is performed by employees and the board of directors.  It is possible that there could be a shareholder vote on a particular course of action, but that is rare, and would generally involve a major event, not day to day operations.