Taping feet for arch support

I don't tape so afraid I can't help you there.  But, if you train in your orthotics, can't they also be used while racing?  The reason I suggest that is my wife has always needed orthotics and wears a custom pair for biking and a different pair in her running shoes when racing and they work well.  But - I'm not familiar with all of the orthotics out there, so maybe this won't work for you. 

No I can't use mine at this point...not even to run in. I just got them last week and I have an issue where they are cutting into my arch. I need to get them adjusted and then break them in.

I can see why you don't want to race in them.  Again - I haven't tried it but you might consider Kinesio Tape, which is the stufff you saw on Kerri Walsh and other during the Olympics.  Its supposed to be good for several days of exercise and can be worn in the shower so maybe its worth looking into.  Make sure you try it out before you race.  Good luck.