I think it's about 3-4 hours from Fish Creek Park to Policeman's Flats on average.
Your biggest hazard is probably just going to be the water flows... mid-June is usually right around the peak of runoff, so there is a lot of debris in the river. I can't really comment on how safe the river would be at this time of year in a Zodiac, but I do know it will likely be high, fast, and cold.
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