Following on from Nige321's above, there's actually quite a lot in the Lincs Echo:
Lincolnshire Echo | Search on Lincolnshire Echo
Sadly, they've stopped the live-ish tweets, but they seem to be covering the inquest most days.
BBC Look North (Yorks&Lincs) say they plan to have a reporter there every day - so far Caroline Bilton's reports have been pretty good. You can find that version of Look North on Chan 957 on Sky, not sure about other providers.
Although the MAA will not publish their SI until the last day of the inquest, Cdr Danny Stembridge, of the MAA, is due to give evidence on Thu 23rd.
The last planned day for witnesses is Tue 28 Jan, then the Coroner takes a day or two to write up his findings.
airsound