It took 2 weeks to craft this grant proposal. Assuming the average academic has a 30% hit rate and the average grant provides funding for ~1 year... then this translates to roughly 30 weeks per year. A somewhat extreme example, but I wouldn't be surprised if these numbers get worse as you move to lower tier universities - and better for higher tier universities.
Would it be better to simply grant lab's to researchers with a general research plan on a 3-5 year cadence?