Home game time limits

I play in about 2 home games per week, we do a tournament stye with everyone putting a certain amout of money and in return getting a certain amount of chips. The normal evening is $1800-$2000 in chips, blinds starting at $5 and $10, and the blinds increase every 30 minutes. The problem is that because no one can play until 1am, we set a ending time to our tournaments....the person with the most chips at the end of the night wins. When it turns out that there are more than 2 people left with about 15 minutes to go, it becomes a crazy crap shoot, with the small stacks desperately going all in trying to make it in to 1st or 2nd place, this ends up really throwing things off and usually making the last couple of hands nothing but luck deciding a winner. Does anyone have a better way of playing tournament style with a time limit?
Thanks!