I still believe that it is possible to do noticeably better, yet it would take some technological effort - somewhat similar to how Russian supercavitating torpedo https://en.wikipedia.org/wiki/VA-111_Shkval does or like some hypersonic weapons do by creating a plasma cloud ahead.
Even more - we can create plasma channel by using tandem schema. The first, smaller rod flies down heating and ionizing the air thus "paving" the way for the second, main, much larger rod. The delay between them is such that the main rod passes almost immediately right behind the second in the a-max (maximum deceleration) layer between 3 and 5 km altitude. If they enter 5km at 20 Mach, the first will slow down to almost 10 Mach at 3km, so the main should enter the 5km altitude 0.2 seconds behind the first. The wind speed at those altitudes is 10-20m/s, thus the channel has to be only about 2-4m wide. I actually have been thinking about this from the other side - a large gun for space launch.