I suspect that, if approaches don't become permitted, EIR holders will have two choices:
(1) Can see the ground, descend visually.
(2) Pick a line known to have appropriate (i.e. flat and low) terrain without obstructions, and descend along it: using VOR or GPS most likely, until either breaking cloud at above 999ft agl, or failing to and thus climbing away to divert to an alternate where the procedure is repeated.
I suppose that (2) could be, say, along an ILS or other instrument approach, just it can't legally be an instrument approach? SRA would become radar vectors presumably, and the IFR MSA would be the obvious cloudbreak altitude unless you've pored over the chart and found a lower figure.
G