After thinking about which level of HQs are best for getting the most $ per week, I took a look at them:
HQ 1 Cost $250,000 Return $10,000/week = $25/$
HQ 2 Cost $750,000 (250 plus 500 upgrade) Return $30,000/week = $25/$
HQ 3 Cost $1,750,000 (250 plus 500 plus 1000) Return $90,000/week = $19/$
So, as you can see, you get the same amount of $ for building 3 HQ1s in three different states as 1 HQ2 in one state....I see no real advantage of having any HQ2s, just HQ3 built at the beginning of the game, and HQ1s in all the important states.