Your existing soakaway is simply overloaded, Taichi. A new one would still have the same problem.
The reason I ask about a stream is that you could have a look at replacing your whole system with a treatment plant. There's a lot more choice these days.
Output from a plant can be discharged directly to a water course. Assuming there is a stream, and it's actually moving, discharge could be piped to it. Of course, this is all academic if the whole area is completely at a standstill.
The plant could be sited nearer to the house, maybe on higher ground.
The other thing is to site a plant on high ground to the north. It would mean pumping sewage up to it, but at least the discharge could get away.
Forgive me if none of this is practicable. We'd really need to be there to see the situation.
Info on treatment plants etc............
http://www.wte-ltd.co.uk/sewage_treatment_costs.html