Would this diverse list do okay?

For context - I got into CoS in late second edition, excited by the prospect of a mix of Elves, Dwarves, and Humans (and wizards, because I love wizards). I was rather disappointed by the performance of the army at the time. Fell in love with the new human models, but still have dreams of making a true combined force.

Collegiate Arcane Expedition

Regiment 1

-Battlemage on Celestial Hurricanum (240)

-Reinforced Freeguild Cavaliers (340)

Regiment 2

-Alchemite Warforger (110) - General, Master of Ballistics

-Reinforced Freeguild Fusiliers (240)

Regiment 3

-Battlemage (110)

-Freeguild Steelhelms (100)

-Freeguild Steelhelms (100)

Regiment 4

-Runelord (120) - Sacred Tome

-Reinforced Longbeards (240)

Regiment 5

-Sorceress (120)

-Reinforced Executioners (280)

my logic is that the cavaliers work as a long-reach hammer / mobile anvil, the executioners act as a shorter-reach hammer unit, the dwarves form the main anvil in front of my fusiliers, and the steelhelms guard flanks/grab objectives/act as speedbumps. The 4 wizards spam manifestations to keep the pressure off the main body of the force.

I realize the longbeards' ability is kind of wasted, as the only unit they can buff is the Runelord, but I 1) couldn't afford the points for any of the other dwarf units, and 2) they still hit harder than ironbreakers