First and foremost -- whether it be to a garden, art exhibit, social function, whatever -- take a day off from dealing with the orchids to clear your head and enjoy yourself. If a plant up and dies during that time, then it was too far gone to waste time worrying about. Move on.
Next, time for triage. And that really is where you're at. Categorizing who has the best chance of being saved and also who of those needs the attention first.
Have Phil give the plants a look over -- roots as well as foliage. Have him winnow out by a 1/2 to a 1/3 the ones that strike him as being in the absolute worst condition. (And why am I putting Bigfoot in the hotseat? Because I suspect he will be able to be a bit more objective at this point.) Then you look at the ones he has pulled. If you recognize one of those he has culled as being one you KNOW was particularly awesome, then you can consider 'over riding' his culling to try and save it. Otherwise all the ones he has pulled -- pitch them. Don't sorrow over it and don't look back.
Now for the remainer. First, sterilize the old clay pots. No you don't actually have to bleach or physan them. Scrub them off in the sink, put them in the oven, and bake them at 450-500F for an hour. There won't be anything alive on them by then. Once they cool, they're good to go.
Don't worry about potting them all up right away either. Any rootless or just about rootless plants should be sphagged n bagged. More on that later if you need to but I believe there have been several posts on that should you use the search function. Any catts you have can handle being left bareroot for a week no problem, and this will allow any fungus time to dry up. Even any onc alliance plants should be okay for this. Your paphs and any phrags will be the ones you have to be the most concerned with taking care of promptly. As I don't do those, I leave it for others to chime in with what best to do for them.