So it turns out I was completely wrong about the temporary Exit 59 westbound ramp- it follows the path of the new ramp, staying on the left side about halfway from the freeway to the intersection, then crossing to the right side the rest of the way to Lacrosse. The westbound onramp is now completely closed, and construction is well underway on the widening of the Maple Avenue bridges.
Further west, the Omaha Street bridge over Rapid Creek is also well underway, with traffic still one lane each way on the south side of the bridge. At this point in time, the quickest detour I have found to get to the northwest side of town (not the West Main/Jackson area) is to take Universal Drive off of Deadwood Avenue, visibly the longest possible route to that area, but with the backups at the Deadwood/Omaha/Chicago intersection, it's faster to take Universal to bypass that intersection completely.
On the south side of town, there seems to be a resurfacing project underway on the US 16 Bypass bridge over SD 79, with westbound traffic forced into the right side left turn lane to go straight through the light and eastbound traffic pushed against the center median. Luckily, this project seems to be nearing completion.
In Box Elder, Briggs Street between Villa Drive and Liberty Boulevard is complete, but the road remains closed and blocked off, presumably because the markings aren't finished. That road is now planned to be continued as part of the Liberty Park complex, under construction in an area whose borders are Ellsworth Road, Liberty Boulevard, Tower Road (if it was extended due south from its current endpoint), and the Valley Village trailer park. Construction of this complex is still in the beginning stages, with no buildings or roads ready for construction at this time.