What can we do about injuries to my husband caused by his trying to avoid an accident?

First, if you have insurance that would apply, submit a claim--that's always the easiest way to receive compensation.

Second, if you don't have insurance covering all the property damage, medical costs, injuries, etc., then you may be able to sue the drunk individual for any out of pocket losses (e.g. unreimbursed medical costs, lost wages, pain and suffering, car damage) you suffered. He was negligent, or unreasonably careless, in getting out of a car on the highway (people are not allowed to use their own intoxication as a defense to liability; they are still responsible, since they chose to indulge); that negligence was a proximate cause of your accident, since the accident occured due to his acts. Therefore, you may be able to hold him liable.