The best example of a tilt bridge is the Gateshead Millenium Bridge
It accomodates vessels with a maximum height of 24m and has a span of 126m. The Brunel Bridge would be approximately twice this size.
Like the vertical lift bridge, the central span rises vertically; in this case however it is operated by hydraulic rams buried in the river bed. This option might be impacted by the proximity of the Jubilee line which passes under the river at this point.
Similar to the vertical lift and table bridges, but the span is submerged instead. Not widely used but could be a potential option subject to proximity of the Jubilee line.
Fixed bridge options
That would require a central span high enough to allow all river traffic – in reality no higher than the upper walkway at Tower Bridge.
Pedestrians and cyclists would reach the higher level via a ramp (possibly a spiral) – or maybe a lift.