Your parents probably had a long list of ways to find your way up Shit Creek. We'd suggest getting to Bethel and either taking a float plane to Whitefish Lake, or a boat on the Kuskokwim River.
As much as you may think it's a joke we've found government evidence to support this. In EXTRACT* OF ALASKAâS KUSKOKWIM RIVER REGION A History By C. Michael Brown, Bureau of Land Management, State Office, Anchorage, Alaska, 1985.
Where it reads "From the fish camp, Maddren followed the trail up Ophir Creek, crossed Rockpile Pass, and continued his journey to Bear and Marvel creeks. Returning to Whitefish Lake in late September, he was forced to wait one or two days for better weather conditions as strong swells prevented a crossing of the lake by poling boat. On September 21, he finally crossed the lake to the "Medicine Man's cabin," and then made his way down Shit Creek to the Kuskokwim River, about thirty miles distant."
Though an ambiguous reference to 30 miles, and other hints in the report lead us to believe it might be the creek which empties at 61.42061 N, 160.51484 W.