What I would do, is give both Annunen and Kähkönen a shot at the net. Give Georgiev time off for a mental reset, you can do the Samsonov treatment (put on waivers but not expected to report to Eagles) with him if you need the flexibility. But at some point, they will probably need to give Georgiev another look I think. I highly doubt both Annunen and Kähkönen work out fantastically. And getting rid of Georgiev AND bringing in a replacement? That's going to cost some of the precious assets that probably need to be spent elsewhere on the roster too.
First thing is to give Annunen and Kähkönen a fair shake, and hope that one of them (if not both) can play well enought that we can get back above .500 and start getting into a more comfortable position in the standings. Things will ease out once reinforcements start coming in from the infirmary, but we don't need to shoot ourselves in the foot (or rather in the head with Georgiev) intentionally by sabotaging our thin enough lineup with sub-NHL level goaltending.