In 1963, for Minnesota, Killebrew hit 45 HRs and drove in 96 runs. That was the record for most home runs in a season by a player who did not drive in at least 100 runs. It was broken in 2006 by Alfonso Soriano, for Washington, who hit 46 HRs and drove in 95 runs.
The thing is, Soriano was the Nats leadoff hitter in 2006, so it is kind of understandable how he didn't make it to 100 RBIs. Killebrew, on the other hand, batted 3rd or 4th most of the 1963 season for the Twins, a team that led the AL in runs scored by a wide margin.
That team had a wide distribution of both RBIs and runs scored. In fact, it would be interesting to know how many teams in the modern era have led their league in runs with no individual player either scoring or driving in 100 runs. I'm guessing not too many, but I could be wrong. I'm too lazy to research it.