The trick that fingathing555 explains in his Hints and Tips on Platinum thread over at https://www.playstationtrophies.org/forum/vegas-party/342058...
applies to this version of the game as well.
All that needs to be done to make this achievement easy is hit
when the bingo balls appear, move your cursor slightly ahead of a ball you need in the direction it is travelling, hit
again to un-pause the game and then quickly hit
to mark that number for yourself. Repeat this process until all 9 squares of your bingo board are filled up.