If Rice falls short the conventional way, he could perhaps be elected on the Veterans Committee ballot at some point in the future, though that process has become increasingly challenging in recent years.
Because this year's ballot didn't have any glitzy additions, the prevailing notion seemed to be that voters of the BBWAA would give a closer inspection to Rice's candidacy and recognize his impact as an elite slugger who struck fear into the heart of just about every pitcher he faced during his prime years (1975-86).
Instead, another longtime candidate received his ticket to Cooperstown, as Sutter was successful in what proved to be a lucky 13th bid.
Rice, known for both his production (eight seasons of 100-plus RBIs) and pure hitting skill (hit .300 seven times), played his entire career (1974-89) with the Red Sox.
Last year, Sutter (66.7 percent) and Rice (59.5) received the most votes of any of the candidates who didn't make it. With that in mind, the thinking seemed to be that Sutter and Rice had the best shot this year.
Next year figures to be a tough class to crack, as Cal Ripken and Tony Gwynn are virtual locks to gain entry on the first ballot, and Mark McGwire will receive plenty of consideration.
There's no question Rice has been gaining steam on the ballot in recent years. This was the third year in a row that his total increased, and he's come a long way from 1999, when his name was checked off on just 29.39 percent of the ballots.
The main reason, it seems, that Rice has been unsuccessful to this point is that his career totals aren't spectacular when compared to the majority of Hall of Fame sluggers. He produced 382 home runs, 2,452 hits and 1,451 RBIs to go along with a .298 average in 2,089 games.
It brings up the age-old debate: What means more -- dominance or longevity?
According to Red Sox historian Dick Bresciani, Rice's career home run and RBI totals were unmatched by any American League competitor during those same years.
Just how dominant a hitter was Rice? Consider that he finished in the top five in the AL MVP voting six times in a 12-year span, winning the award during his epic season of 1978.
Bresciani did all he could to make a case for Rice, putting together an informative packet of documented reasons that the right-handed masher is Hall of Fame worthy.
Bresciani noted the other players in baseball history who have both a batting average and home run total as high as Rice's. They are a who's who list of Hall of Famers, ranging from Hank Aaron, Orlando Cepeda, Joe DiMaggio, Jimmie Foxx, Lou Gehrig, Al Kaline, Mickey Mantle, Willie Mays, Johnny Mize, Stan Musial, Mel Ott, Frank Robinson, Babe Ruth, Snider, Billy Williams and Ted Williams.
But Rice, for the last 12 years, has been unable to make the cut and join the elite club that those stars all belong to.