That works rather well. And there are lots of options under such a format, like:
Speedrun: Answer as many questions as fast as you can under the duration indicated, with each question giving gold. Special questions give buffs or equipment upgrades, if answered correctly. At the end of the duration, you only have one chance to buy units, then you fight until whoever remains at the end. (This is imperfect, so shape it as you will).
The Scales of Justice: Every question you answer wrong has a positive effect on another random player or a negative effect on your own units. Questions you answer right, in the like, can have a positive effect on your own units or a negative effect on other units. (This needs a better name)
Pick your Poison: Every question you encounter will inevitably cause something bad to happen to you or your team (should there be a team mode). All you can do is pick the best possible answer and hope that more people screw up than you.
Boss Domination: The quiz occurs as normal, except the players will use gold to upgrade heroes who will then fight bosses and their minions, round by round, in teams. The heroes need not be spectacular, but it makes for an interesting quirk. Each boss kill will give quiz points, but spread out according to damage amounts. (Healers would require a different system to give them a standard amount of points, should they succeed or fail). If the team fails to kill a boss, quiz points are deducted and/or the questions get harder by a degree, but they may try again.
The team who finishes the boss runs first gets a bonus amount of quiz points, but it is the total amount of quiz points at the end that decides the victor.
So those are just a few modes, how do they sound?