Bench is expected to train with quarterbacks coach George Whitfield in California this weekend and possibly take visits to one of those schools the following weekend.
Bench, eligible to play this season, has three total years of eligibility plus a redshirt available after leaving Penn State this spring.
The 6-foot-2, 205-pound Bench appeared in two games for the Nittany Lions last season, completing 2 of 8 passes.
Junior college transfer Tyler Ferguson and true freshman Christian Hackenberg will compete for the Penn State starting quarterback position this summer and into the fall.
Bench considered Mississippi State and also once decommitted from Rice after he graduated from Cairo High School in Georgia. According to his ESPN RecruitingNation scouting report, Bench has a quick, compact throwing motion and can throw on the run.