Perhaps the courts should take the lead of the Scottish system, and allow a verdict of 'Not proven' - This has similar consequences for the accused to a 'Not guilty' verdict, but with a strong undertone of "We cannot prove it beyond a reasonable doubt, but we think he probably did it".
No penalty is imposed by the law on a person found 'Not proven', but the message that verdict sends to the community is rather different from that sent by a 'Not guilty' verdict.
You have both the "not proven" and also the "not guilty" verdict int he system? Interesting idea.