AHA! No wonder it was coming out LYE HEAVY when I plugged it in. You did not say it was Fractionated Coconut Oil. That makes a big difference in the lye calculations!
Okay, scratch everything I was going to say and start over.
Fx CO is rather expensive for bar soap, but you can use it; I have when I wanted to use up a bottle of it and get rid of it. But even so, that's still way too high a cleansing number for me. That gives you a whopping 36 cleansing number and with only 5% SuperFat, that'd turn my skin into a dry itchy mess; my skin would start cracking and bleeding if I washed my hands with that every time I have to wash my hands. Your skin may not respond so badly to so much lauric & myristic, and the Aloe might counteract some of that, but I'd still say go lower on the CO.
I suppose the good thing about it though, is the soap would wash away down the drain really fast because that soap will just melt away in use super fast. But you'd have so many bars of it, my gosh. You're going to have to love it because that's a lot of soap for a first time soapmaker.
This is what I would do if I was new (and knew what I know now) and wanted to make a soap like this using palm instead of lard:
I'd make the following changes, using my lye calculator:
I'd keep the SUPERFAT to 5% because you are a beginner, and that's a safe place to start.
I'd set the water to lye ratio to 2:1 or 33.3% lye concentration (they equal the same thing.)
I'd change the Coconut oil to no more than 20%, but I would use regular CO, not fractionated.
Instead of using Aloe puree, I'd use Aloe juice from Walmart, because for a beginner it's easier.
The aloe juice can be a straight water replacement, so no need to split the water & the aloe at all, but you can if you want.
I'd use 30% palm oil. Do you know where to buy it? Spectrum Brand shortening is hydrogenated palm oil, costly, but it works fine in soap. (Target carries it, as does Whole Foods, and some other grocers.)
I'd add Castor oil to support bubbles and provide a bit more creamy lather.
True the Aloe will also help with bubbles, so you could choose not to use Castor, in which case, I'd add that 5% back in one of the other oils.
I would also make a much smaller batch, enough to make only about a pound of soap. If something goes wrong or you don't like it, you won't have wasted a lot of materials. It gives you 4 bars of soap to see if you like it or not.
Then it would look something like this:
30% Olive
30% Palm
20% Coconut 76° (the stuff that come in a jar & is spreadable like butter)
15% Shea
5% Castor
with 5% SF, 33.3% Lye Concentration (which equals 2:1 water to lye ratio), and using aloe juice instead of water,
you end up with a hard bar of soap and it won't have to cure for too long, as it would if your Olive oil was at the higher percentage of the original formula.
If you want to use the Fractionated CO, I'd suggest using only 15% and raising Palm or Olive to 35%.
But that's my own preference about how oil-stripping I want my soap to be (or not be); you may be fine with a stronger soap, and as I said, the aloe may counteract some of that making it easier to handle. Some folks are fine with higher amounts of coconut oil in their soap; some are not.