I understand wanting to be debt free before buying a house, but I would talk to someone before you pay off a large about of debt right before buying a house. I was told that if I was to do it - it could lower my credit score & raise my "risk" factor - thus making it harder to get a home loan. This was a few years ago & the market has changed... so if you are hoping to buy a house start talking to the banks now & get some credit advice.
I think both ways you are looking at using the money would be a smart choose. Paying off debt is always nice & so is owning your own home, but I don't want to give you the wrong advice that might hurt you in the end. If you talk to someone & they tell you to hold off on paying down the debt, I would follow the advice, but once the papers are signed & the keys are in your hands you can pay it off. So, if you are able to save the money & have some extra funds you don't put down on the house - you can then pay down the debt you are concerned about.
It is also, always a good idea to have "rainy day money" when you own a home. Reason being - the water heater ususally goes out the week the house payment is due & you are strapped for cash and when you own a home you have to pay to fix it - not the landlords. Guess that is the only real down fall of owning vs renting a place - the up keep.
I'm sorry you came into the money the way you did... I hope your dad didn't suffer. But I feel he would be proud that you are putting so much thought behind what to do with what he left you.