Why not bag your rubbish and take directly to landfill yourself?
You mention cardboard boxes and newspapers, and a few bags of chicken bones and rotton food in your post, all of which are recyclable - yes even the bones and rotten food.
You mention the midlands, the landfill in Athlone is €12 for a car.
By the sounds of things you do not need a weekly service, your €500 will pay for a potential 41 visits to the dump at €12 a pop.
I'm a family of 4, one in nappies another just out of nappies and a stay at home mum. Our bin is exclusively ashes from the fire, nappies and leftover cooked food - I do not have the facility to recycle cooked food/bones in my garden.
The bin is collected once a month when the fire is on, once every two months when the fire is not on. I recycle a full boot load once a week and choose purchases will little packaging/recyclable as much as possible.
Unrecyclables like plastic wrappings etc I bag and store in the shed and make a full car trip twice a year - about a dozen full bin liners.
About 10 bins collected = €80, €8 a bin tag
Two trips to dump = €24
Total direct cost = €104 a year
Satisfaction level of recycling/reusing as much as possible is much greater.