Richard, no, I do NOT know the conditions at the mouth of Eagle River, as it is located on Fort Richardson and therefore not readily accessible to the public as is the mouth of Peters Creek (near which I live).  I've actually long wondered what people who raft Eagle River do once they get to its mouth, in terms of returning.  But just to mention the pertinent points once again, the water is very cold, and it is NOT going to be 'relatively safe' when the current is running as swiftly as it is right now, right after a prolonged period of heavy rain.