Scorp. Father is sole owner. What about an individual/family plan?
If it is set up as a small group plan, the employer can either pay for the premiums, or set up a Section 125 cafeteria plan and allow employees to pay the premiums with pre-tax dollars. This can be done regardless of whether the employee selects "employee only" "employee+spouse" "employee+children" or "family" coverage.
If the employees purchase the coverage on their own, outside of the business setting, there MIGHT be a way to legally reimburse them for it as a business expense, but it would probably require setup of an HRA (Healthcare Reimbursement Account) which would be specifically set up to allow health premium reimbursement, or some kind of other setup that might allow it (I don't know, and doubt whether it's worth the hassle and expense for just one or two employees).
In NY, unless you want to take subsidies (which many people don't) whenever you have a choice you are much better off doing it as a small business group.