The peat on Carrington Moss is between 17 and 20 feet. Not all that deep at all.
From "HS2 Cost and Risk Model Report" 2012, a single-bore high speed tunnel costs £45-66,000/m which is four to five times what a 12.6m wide viaduct costs (£13,000/m). And you need two tunnels.
That's not what it says.
The tunnel cost is per route metre for two options, one is a twin track, single bore tunnel (9.8m) and the other is for a pair of two single track tunnels (7.25m)
Current costs at that time were ~£32,400-66,000/m for a route metres worth of tunnel.
The viaduct cost (£13,500/m) is also for heights up to 10m tall, which would basically put it on the surface in the bog. You will need at least 5.03m of clearance under viaducts for any roads you cross.
At which point you need to pay for a lot of road/utility reroutings etc.