While I won't guarantee 100% accuracy here are a few facts about teams getting NCAA basketball and hockey bids in the same year
It appears it has been done 75 times since 1948. With the expansion of both tourneys it has become fairly common. For the first 40 years 1948-88 it had happened 10 times by 5 schools: Michigan State did it 3 times, twice in the last years of that era. Michigan, BC, and PC did it twice and Northeastern once. Providence was the first eastern school to do it in 1964, making them the third school to do it. 1964 was the first time multiple teams made it, which was pretty impressive since the NCAA hockey tourney had only 4 teams.
In the last 30 years its happened 65 times with only '91 and '03 not producing any team getting a duel bid. By and large duel bids are dominated by Big Ten schools. 5 schools (Mich, Mich St, Wisconsin, Minnesota, Ohio State) have done it a total of 45 times. If you ignore Notre Dane since they appear to be geographically challenged in aligning their sports conference, the only other team considered western by hockey standards to do it is Miami of Ohio. Michigan State is the overall leader doing it 15 times, Michigan (13) and Wisconsin (10) are the top 3 schools in accomplishing this feat.
For Eastern schools 9 schools have done it a total of 23 times. This assumes Yale makes it this year, the Ivy League has 4 separate schools accomplish this feat, Yale this year, Harvard last, also Cornell and Princeton, each doing it one time. Northeastern and Vermont each did it once, BU 3 times. Overall tied for 4th behind the Big Ten schools are BC and PC, each accomplishing it now 7 times
With doing it for the 3rd year in a row what Providence accomplished is still a fairly rare feat. Stringing 3 years of duel bids in a row. The leader at 5 years 92-96 is Michigan. BC is next with a 4 year streak 04-07. Mich. St has 2 3 year streaks, Wisconsin did it 04-06. PC is only school with an active streak.
Providence is the smallest school to have accomplished this feat.
Most schools to do it in one year is 4, most likely this year, first done in '94 by 4 Big Ten schools, '01 with Mich St, Wisconsin, PC and BC. BC and Mich St were part of the '07 quartet which included Miami and Notre Dame
Did not look into it to see if anyone else had a hand in accomplishing this feat at multiple schools, but this fact jumped out PC head basketball coach Ed Cooley obviously is part of PC's streak, he was also the BC assistant in the first 3 years of their 4 year streak.