While a grid may provide a straight answer like, "I am for this square so I can hit these goblins," I've always run TotM a bit differently. Usually along the lines of, "can I hit X with my sleep spell?" It is usually a yes barring some form of interference. Beyond that, the line might be, "I place the spell to affect as many goblins as possible," in which case I would rule how many there are based on positioning. Aiming for the largest group is fine, how many in that group? Aiming for specific ones, it is unlikely to splash onto unintentional targets. So, I think it is just a matter of not aiming for the square but instead aiming for "theatre space" so telling the DM what you are aiming for instead of which square you are aiming for. I want to catch as many goblins at once may result in the first batch in a group being taken out and then move on.
It is harder to define what I mean with the sleep spell, so fireballs and lightning bolts are my go to.
I want to lightning bolt that leader?
Okay, you can also catch X number of people in between including Y allies.
In that case can I angle it to avoid the allies?
Sure but you'll miss Z mooks, or, hit all the mooks (all X of them) but miss the leader.
I really want to hit the leader and avoid my allies.
Alright, roll damage while I roll reflex saves.
Substitute other area affect spells as needed.
You only have to make sure everyone is on board with what is being visualized. It isn't really too hard, just might require some back and forth but grids have the same problem with similar spells. And as the DM you don't have to worry about every single goblin being tagged unless you want them to be - that's a lot of freedom to work with.