Wow! That's challenging.
This is the best I can come up with using Soap Calc. Not ideal, but probably OK soap. In the first two recipes I also took the liberty of using 1.5 oz. castor oil. It will boost the amount of bubbles. You can get 1 - 2 oz. bottles at grocery stores, drug stores, etc. for less than $2.
I am also using a water discount. The default for water is 38% of the amount of oil. I only using 28% because these soaps are kind of soft. With full water it will take longer before you could unmold/cut the soap.
I think the best thing is perhaps for you to play with Soap Calc. I like my soap bubbly and creamy, but perhaps you have different preferences. It is rather fun, anyway!
http://www.soapcalc.net/calc/SoapCalcWP.asp
The first one is vegetable oils only, using what you have on hand to make a 2-lb batch. It is going to be super soft and may take a while before you could unmold, cult, and may need a longer curing time.
[attachment=0:3q0dlxbu]Veg Recipe.png[/attachment:3q0dlxbu]
The second one uses lard. Still kind of soft.
[attachment=1:3q0dlxbu]Lard Recipe.png[/attachment:3q0dlxbu]
The one is an almost castile. I am partial to 100% olive oil castile soap, very mild and great for my skin, but unless you cure it for 1 year or so, it tends not to have a lot of lather even to the point of feeling slimy. It is "soft", but with a long cure olive oil soaps can become very hard.
[attachment=2:3q0dlxbu]Bastile Recipe.png[/attachment:3q0dlxbu]