If the daily highs are in the high 60s or low 70s and the nightly lows remain above freezing, and this occurs for 3-4 days, we will see a large spike in stream flows. If we also have some high intensity storms mixed with these temperatures (it's not uncommon to get afternoon showers every day) the flows in the streams can get dangerous quickly. I've lived in CO almost 20 years and have only seen one year when all of these factors came together. So it really is a rare occurrence that snowmelt causes issues, but it is something we need to keep an eye on every spring. The streams I deal with are at about 8,000 feet, with tributary basins as high as 13,000 feet, so it's a fairly unique drainage scenario and probably cannot be compared to the UP.
The general consensus among design engineers is that storm drainage conveyance facilities on the Front Range (Denver, Fort Collins, Colorado Springs - elev. about 5,000 to 6,000 feet) should still be designed based on rainfall and that snowmelt should not be a design factor. But there is also a basic understanding that the higher you go in the mountains the more of a chance that snowmelt becomes the design parameter for predicting runoff, but there are simply not enough studies to reference to even start some sort of snowmelt runoff calculation.
From what I've seen over the last 20 years the storm conveyance facilities in my region that are designed with sufficient capacity to handle flows from a standard 100-year design storm (based on rainfall) have not had any major issues with peak runoff from snowmelt. But I'm also convinced that a snowmelt event that has the probability to occur once every 100 years (a 100-year snowmelt event) will generate a larger flow than the flows from a 100-year rainfall event; again this is specific to my region.
I would think that the UP is more like the Front Range than the Rocky Mountain drainage patterns that I'm observing, so I would be surprised if you really need to worry about snow melt for any conveyance design (but I find it an intriguing challenge to discuss regardless).