Joefolk, The product that absolutely doesn't have any dairy in it is Coffee Rich, if you are in CA then they have Coffee Mate. I keep kosher so I have to deal with it all the time. Not sure about Coffee Mate, but Coffee Rich for sure can be used as a heavy cream substitute. There is even suggestion on the carton. Oh, and for whip cream, non-dairy kind, there is a product called Rich's Whip. It's not the same as dairy, but as good as it gets being non-dairy. Both are kosher and carry symbol "Parve" which means that product doesn't have any meat or dairy products in them. Both are true and tested.
P.S. note that majority of so called Non-Dairy toppings, or coffee creamers, or even whip cream have some form of lactose in them. Depending on why you need lactose free you have to be careful, especially if it is allergies you are worried.