Well.. no. xD
If someone is legitimately harassing you and sending you a thousand tu per day, one tu at a time, I don't see the fun in it at all.
As well as this;
"in the rmail there could be a little Anon message that the user wrote out. "
In the message, a user could write anything in there. They could threaten, harass, say inappropriate things, you name it.
Strongly against it being 100% anonymous, I think Support Staff should be able to check who the sender is.
Only support if it isn't.