Reb Moshe writes that one who shaves a few times a week is allowed on Chol Hamoed, certainly for business, and even just to look nice.
The reasoning is simple. Chazal only forbid shaving on chol hamoed so that people would shave before yontof and look nice. Otherwise they would put it off until Chol Hamoed and enter yontof as menuvalin.
But since today, even when one shaves before yontof, he will still need to shave again afterwards, it is OK, as he always shaves a few times a week. Chazal did not make the takana so that people would look shlumpy, they did it so they would look nice.