I was so excited about this working this year.

Unfortunately it's now spring. Rather than having carrots sprout what I actually did was create favorable conditions that caused early germination of the closely related hedge parsley. It's spring time now and all the hedge parsley is going to seed.
I know the plant is edible and weeding them out today, the roots smelled fantastic. I chewed on a few of them to test and while they tasted like a bland carrot, they were too woody to eat. Next year I'll try harvesting any hedge parsley volunteers before they flower. I've had the both the bland flavor and the woody texture happen when I was too late in harvesting carrots, so it's very possible that next year I'll have a productive vegetable with no work. I guess it'll be something that worked out for me in the long run. If I weren't so frustrated over not getting carrots after a full winter of carrying for the wrong plant, I wouldn't have been frustrated enough to try eating the hedge parsley root.
I do have real carrots growing from the seeds that I planted at the appropriate time. The take away lessons I have here are to wait until the ground is already cool enough, and to replant if my 'carrot' isn't showing color very early in the growing process.