Sure, the press will be infuriated as will their followers. But a similar number of folks will view it as a good, long overdue move and support the administration.
There is nothing here that can't be accomplished by a web-based daily press release by the WH followed by hours of blow-dried liberal media whining about every last syllable.
I think dissolving the press corps has merit ( as it currently exists). Being a member of the press shouldn't be thought of as an exclusive club. As far as I'm concerned, a small media outlet should have the same access to the press secretary as a large media outlet, and no reporter should have exclusive access. Perhaps a lottery system or, as you stated, using the net can be helpful.