The National Science Foundation funds research by undergraduate students in other host universities. There are a vast list of host universities that participate in this and thus a wide selection of research topics as well. Professors do not mind this because it does not cost them anything. read more
But yeah, Profs are really approachable about research positions actually. A big thing is though try to get a feel for what Profs do take on undergrad students frequently, which was the case for both of my Profs that I approached. read more