Of choose the roe into Brum, without the tunnels or elevated sections has now (some months ago) been published by HS2/DfT.
Just had a good look at the official plans and there are quite a few elevated sections in to Brum.
There are many rival schemes from railway professionals for improving capacity: more bypasses, more graded junctions, removal of bottlenecks, duplication of 2-track sections to better segregate fast and slow trains, electrification of branches to eliminate slower diesels (e.g. North wales line, Blackpool, Preston to Liverpool/Manchester), improvement of the New Street bottleneck (it's being done at Reading at present), etc..
These can be done incrementally and for a lot less than £32bn.
Thank Christ for pragmatism over dreamers vanity projects.