At Grand Prairie High School, where his father was head football coach and athletic director, Bomar was an outfielder considered good enough for the Major League Baseball annual draft.

Senior Paul Thompson began the year as starting quarterback, backed up by true freshman Sam Bradford and junior college transfer Joey Halzle.

[4] Bomar entered spring practice as the starting quarterback for the 2007 Bearkats, with two years of collegiate eligibility remaining.

“Rhett brings a lot of athleticism to the quarterback position that we haven’t had,” SHSU coach Todd Whitten told the Huntsville Item.

We feel like our offense has the chance to make a lot of big plays next year.”[5] Bomar started all 10 games in 2008 for Sam Houston State as the Bearkats went 4–6 on the season.

He was selected as a finalist for the Walter Payton Award given to the top player in the Football Championship Subdivision.

[9] Following an injury to Giants quarterback Jim Sorgi, Bomar was initially expected to take over the role as backup quarterback, but on September 3, 2010, the Giants acquired Sage Rosenfels from the Minnesota Vikings to step in at the position, making Bomar expendable.

Bomar was signed by the Minnesota Vikings off of the Giants' practice squad on December 21, 2010,[10] and made him the team's third-string quarterback for the final two games of the season.

In 2012 and 2013, Bomar worked as an assistant on his father's coaching staff at Orange Grove High School.