Just had an idea to easily solve the problem. Since we got the files for printing out an additional tech table, you simply put 6 sided Dice on the drawn techs adjusting them according to the number of techs. That way you have an overview on two sides of the table and that should be enough... Easy and fast.
That's more or less what my friend was doing -- but it takes up some table space while this method can be passed around to other players. Having somebody announce the tiles as they're drawn can eliminate the "stand up and look" issue but you do have to be diligent about recording people's purchases as well... so yeah, it's fiddly.