Will this go through?

First, you don't want to bud ON your mother plants of the root stocks. Keep them well watered to push vigorous growth. You want to root straight sections of their canes for stocks. Those are what you want to bud on. Once you have a vigorously growing mother plant of your stocks, you can root and bud as many as you want.

While you're pushing your stocks, push Blue Moon Stone. Keep it properly watered and fed, using whatever fertilizer you have the best success with. Do NOT let it flower. Keep the flower buds pinched or cut off, but leave every leaf on the plant so it keeps it well fed. By pushing growth instead of flowers, you will bring the plant into as vigorous maturity as possible in as short a period as possible. Letting it produce flowers will delay its maturity. You want strong, large buds to use so you produce stronger, more vigorous plants.

Root stocks to practice budding on using other less valuable varieties to you. Build your proficiency while your stocks and Blue Moon Stone develop into larger, more vigorous plants so when you are ready, you will have good material and skills to produce good plants.

Once you've budded a variety on a stock, if it fails and if there is room to insert another bud, you can insert another bud of the SAME variety on that stock. Budding anything else on a used stock increases the potential for you passing any plant viruses from one variety to another. Hopefully your stocks are virus indexed, tested for plant viruses and found to not be infected. If they aren't, then it's a gamble. Plants can be infected for decades before showing any symptoms. Just because you don't see symptoms does NOT mean there isn't viral infection.

Burling Leong of Burlington Roses created an article to illustrate Chip Budding. It's the easiest method of budding, requiring the least amount of skill. You will have to Google the title as the system is not allowing me to post URL's. Propagating Tree Roses by Chip Budding

I created the post on my blog to illustrate and explain Chip Budding. You can access my blog at Pushingtheroseenvelope@blogspot.com Search for Chip Budding and the article following it "It's been a good year for budding".

This post contains MANY photographs of chip budding. Hopefully it will help illustrate what you want to do.

You probably want to visit YouTube and search “Chip Budding roses” or “Budding Roses”. That will bring up many videos demonstrating how to do it.
Hopefully, this has given you some direction and ideas and pointed you where to look for more information. Don’t let it intimidate you. Have fun with it and good luck!