I've always been surprised by the number of people who insist that clothing must be washed every single time it is worn. That's certainly a good idea for socks and underwear, but dress shirts?
I wear a T-shirt under my dress shirts, and I only dryclean them about 4x/year (about once every 10 times they're worn). Exceptions are made, of course, if the shirt gets something spilled on it.
As long as the shirts are hung up and allowed to air out after each wearing, there isn't much need to wash them. They don't smell, they don't get wrinkled, and they look like new every time I wear them. As a bonus, they last a LOT longer if they aren't washed all the time.