What makes you think you can skip the Hatch a Chilly Goat task for 10 gems. The OP says 50 gems but I think that is a mistake. In the past, the Breeding/Hatching Step could be skipped for 25 Gems. That is my hope with this one as well.
I have another 18 1/2 hours to wait for an Obsidian Cyclops to leave the Breeding Den, so I can start on Step 1. I originally planned to plant some 20 hour crops, wait 20 hours and then speed the Obsidian Cyclops to the nest and start the goal line. However, I remembered that the last few goal line animals only needed 25 gems to skip them and I have a baby Chilly Goat that I can feed. So, I decided to wait out my first ever Gem Hybrid rather that speed it up and still risk not breeding the Chilly Goat. I figure it will cost me 20 hours of breeding so about 3 attempts at the Chilly Goat. I used the free time to hatch the last of the Egypt and Autumn animals I had in storage since they didn't need any additional space in my Forest. I can always use the gems to speed it off the nest instead, once we have a clearer picture of the details of Step 3.
I will still try to breed the Chilly Goat and there is always the possibility of winning one from the Spin to Win wheel. If I wait out the time on the nest as well, my Obsidian Cyclops will hatch about 8 1/2 hours before the Tuesday update. Since I expect the Valentine's World Event to begin with the update, it would have been nice to pull it off the nest right away for 45 tokens but I don't think that will be worth tying my nest up for an additional 8 1/2 hours.
Putting the Chilly Goat on the nest from storage may not count as hatching, but actually hatching it off the nest will. Remember to leave 17 hours for a turn in the Evolution Flower since you need 50 feedings. You should have plenty of time to get everything done within the 7 days.