It just takes some imagination to think of grounded non-caster healers and non-caster crowd controllers.
Non-caster healer. 4E already has an example: the warlord. But let's brainstorm a few more. The two that jump immediately to mind are a combat medic and an herbalist. The combat medic makes and uses non-magical bandages and stimulants. The herbalist makes and uses non-magical healing salves and poultices. The bandages, stimulants, salves, and poultices have various effects that heal and buff their allies, possibly debuffing their enemies. Cool, so that's two ideas here plus the warlord makes three. And that's with a few seconds of thought, I'm sure others could come up with more and better.
Non-caster crowd controller. Again, 4E already has an example: the ranger (hunter). But let's brainstorm a few more. The two that jump immediately to mind are a trapper and a bomb-thrower. The trapper makes and uses non-magical traps and places them around the battlefield. The bomb-thrower makes and uses...wait for it...bombs and...wait for it...throws them around the battlefield. The traps and bombs have various effects to control the battlefield and the enemy's movements. Again, that's two ideas here plus the ranger (hunter) makes three. And that's with a few seconds of thought, I'm sure others could come up with more and better.
It's honestly not that hard. And they're all grounded examples, so there's no worry about messing with someone's fantasy.