The No Limits 10k at Alum Creek State Park (OH04053PR) is about 80 percent on pavement and 20 on a grassy dam top. Just after mile 4 the runners ascend 116 concrete steps for a total rise of 80 feet to the top of the dam.
When I measured the course I simply pushed the bike up the steps and later held it back as I went back down the steps.
I was using an electronic counter at the time and had a 3 meter difference out of about 35 meters each way up and down the stairs. The wheel was moving in a jerky manner and it was difficult to control, and I expect I got some double-counts. I used the lesser of the two measurements. The actual measurement path was a straight shot up or down the stairs, so it was not a question of being off the proper line.
Usually a flight of stairs represents a tiny fraction of the overall distance, so any inaccuracy in measurement will get lost in the overall total.
Using the bike is good enough. Taping is overkill.