You stand a better chance of surviving against them with a strong angel than with a strong archon, imho, if you have aura, shield and barrier (and stoneskin, and protection). Also make use of size changes a little, and resist preps (e.g. whatever Igbah's attack type, and probably hot and cold because of apocalyptic overture, and resist mental).

Archon is really easily neutralised these days, especially by good tanks. As an ap I was able to basically manhandle archons whilst prepped, so I'm sure a good tank could.