Head of household for divorced dad of college student

I'm a divorced dad of 3 girls.  The younger two spend about a 35% of nights with with me, so in past years I've put down that they live with me for 4 months.  My ex is the custodial parent, but we alternate dependents each year.  Since the divorce, I've been filing as single.

 

This year, according to our plan, I claim my eldest as a dependent, who is 18 and in college and does not provide half of her support.

 

Turbo Tax says if the dependent is away at school, I can claim those months away as living with me.  If I do that, Turbo Tax recommends I file as head of household.  Given all of the above, should I file as head of household?