NSF's Research Experience for Undergraduates is a great way to have a research experience at a big university. These are highly competitive however Elon students fare quite well in their applications. Successful applicants receive a stipend (usually $3000-4000) and housing for 8-10 weeks of the summer. These programs take place at a wide range of large research-based universities across the US.
A current list of all NSF REU opportunities for the Biological Sciences can be found at http://www.nsf.gov/crssprgm/reu/list_result.jsp?unitid=5047