You did everything right. If they don't give you a vector and speed just wing it and see how it works out. They don't seem to care. Life is too short to come up with magical approaches from anywhere just because approach is too lazy to give you a vector. Just do it if you want to test your side skills because it isn't required in an airliner.
Look at the new guys being hired. Do you think they could do anything without automation? I applaud the 1500 HR USA rule. We might have a pilot shortage but we will have real pilots. Others will have 250 hr wonders. Then they won't be allowed to handfly because of their lack of experience so if the button pushing doesn't work right they are finished. AF447 is an example of that. They had thousands of hours pushing buttons but couldn't hand fly an airplane. The old timer taking his break was the only one that could have fixed what they did. That is what happens when you become automation dependent.
Please give us real pilots back like we did when I was flying.