My oldest was the not quite collicky one by that 3 hour rule. I agree with pegasus about asking what more can be given for a chronically hungry child. Or do you have any extended family to ask that? Once I found a way to get him feeling full gradually things got better, sort of. He stopped napping at the age of 2, so there's that. He's 14 now.
He went to daycare until I went on maternity leave when his brother was born. He did fine. He's was about 8-10weeks old.
His cousin wound up on specialty formulas. Has egg allergiels and I think milk or shellfish. He was staying with his cousin those first weeks until official daycare now that I recall. Being just 6 months apart, with those tummy/food/crying ailments it was a bit much. I mention that as other ideas about your baby's tummy struggles.

Just breathe. It's overwhelming at first.