The top speed of the Fw200 was 224mph. The bombload is the same, I'll grant that it isn't worse than the He111, it just isn't better either. The defensive armament varries depending on the version added, but that is true of the He111 as well.
So, the best you can hope for is an aircraft that is 40mph slower, much more fragile, carries the same warload, has slightly better defensive guns and can fly twice as far.
Or you can ask for something like a Do217, He177 or Ju188 that are actually bombers, not mediocre passenger aircraft pressed into service as bombers.