Want the hard badge? focus on Damage, it's the best approach, all the UP for damage until it's maxed. Then i would turn to rate of fire. Also, when a new wave is coming, try not to get sandwiched between the spawn points, in later levels it could be deadly... (i should know, i got effed on lvl 29 1/2)...
Also loving how your "base" gets dragged torwards the enemy when you're trying to run, funny, as that doesn't happen to my enemies. 1/5 out of sheer frustration.
I won using 1 of every king of tower in each elevator, except light MGs, it's actually quite easy that way, get every elevator the moment you're allowed to, then get one of each gun. Once you have one of each, upgrade. I almost didn't juggle doing this. At the end it was an auto-win.
Lvl 3 and the flamethrowers, what a damn annoying lvl, you have to place your stupid flamethrowers then hope you luck-out and they don't get killed, you manage to place 3 more, then comes the mixed wave and all is lost...
Glad I could eek out that extra point!