Just spotted this old shot of Keke Rosberg in the McLaren MP4/2, it struct me how chassis' have evolved over the years - this was rightly called a tub, but now they are much more enveloping and protective of feet - this chassis is an ankle grinder.
This has probably been discussed before, but this image made me wonder if you could extend the top of the current tub with a pair of removable spaceframe rails linking the corners of the dash to the roll hoop to provide some additional protection without adding a full cockpit (added to this shot just as illustatration of what I mean).
It could be something that pivoted into place, with an overlap under the dash, and a pinlock on the rollhoop end, so that it was easily removable post-crash. The pin end would be some kind of spring loaded catch that could be popped by the driver from the cockpit in emergency.
Something like that might have helped Bianchi a little bit without making things overly difficult in cases of fire for example. I can also see some downsides to it, like if you are trapped upside down in gravel, but there is a always a balance to be struck.