When mine hurt I decided to rest/ice and take ibuprofen, but for me after 5 days rest it was stretching that really helped. In hindsight I think it was my lower calf causing my issues, and the inflamed Achilles was secondary to that.
At the start of the run it felt a bit sore but this soon went and by the end was fine - but I had warmed up, cooled down and stretched properly for once!
I was shocked that Tuesday after the run Monday I was fine moving on the foot first thing - didn't expect to be walking and did 15km on the bike and all still ok.
If rest and icing aren't working try taping your foot like in the link Tom posted to take some strain off it.
Hope you both manage to get it sorted I hated the idea of not being able to run!