Wire wheels can be a challenge at times.
Do the normal vibration diagnostic steps.
- look for marks indicating a missing balance weight
- spin the wheels manually and see if it runs out or is bent. Use a dial indicator if you have one & measure/record run out.
-Put front wheels on back, back on front, or borrow all 4 from another car. If vibration changes or is eliminated you indeed do have a wheel problem.
- were your wheels balanced by a stud centric or center centric method? Proper way is stud centric.
Yes they can be "trued" just like a motorcycle/bicycle wheel, but finding someone to do it will be difficult.