With the win, Randolph (2-0) is off to its best start in program history.
After Methodist (1-2) took an early 2-0 lead in the first quarter, Randolph scored all three goals in the second period, led by two from Risse, as the sophomore sandwiched a goal by senior John Grundy Jr. (Warrenton, Va./Battlefield).
After a scoreless third period, the teams headed to the fourth with the WildCats up 3-2.
The final 15 minutes had as much scoring than the first 45, however, setting off an amazing finish.
Sophomore Andrew Gleitz (Plymouth, Ind./Culver Military Academy) doubled the Randolph edge early in the period, and after a Methodist goal made it 4-3, classmate Corey Nehlig (Lancaster, Pa./Manheim Twp.) did the same.
The Monarchs struck three times in 53 seconds off of a Randolph non-releasable penalty, quickly changing a two goal deficit into a late lead.
As the team took the lead, however, the Monarchs were hit with their own unsportsmanlike conduct foul, giving Randolph a man advantage with a chance to tie.
Risse set up senior Colton Wood (Chula Vista, Calif./Otay Ranch) on that extra man opportunity, forcing the program's first-ever overtime game with 1:25 left.
It took just over a minute of overtime for Randolph to earn the victory, as Grundy Jr. won the faceoff and Randolph scored on its first shot of the extra session.
Randolph won 11 of 15 faceoffs on the day.
In the middle of the game, sophomore goalkeeper Cam Davis (Gibsonville, N.C./Western Alamance) stopped seven straight shots on goal, keeping the Monarchs off the board for a span of exactly 40 minutes.
He finished with nine stops overall.
The WildCats next have a chance to tie the program record for longest winning streak on Saturday, when the team hosts Southern Virginia.