Wouldn't hurt or be hard to check for a blown head gasket. Barring the usual signs of oil in coolant/ milky or coffee colored oil, you can rent a combustion leak tester from most parts stores.
They are very easy to use, just drain a little bit of coolant out of the radiator so the tester doesn't suck it up, start the engine and either hook up to engine vacuum or use the hand pump to pull air into the tester with the test fluid in it. It'll turn from blue to green/yellow if there's combustion gases leaking into the cooling system i.e. blown head gasket or cracked head.