pottery with native clays is what i do for a living ,now for 30 years.
there is alot of things that could cause cracking.
--it might be TOO much shrinkage(too much bentonite) not enough temper (crushed rock ,sherds,shale,shell, or sand)
or --too much water added after the pot begins to dry...will crack a pot
or --slumping...when clay sags it tends to split (where are your cracks showing?) from the rim, the base?
If you want to work outside you'll like to use a good cattail mix.
this works for me and has for my students too:
mix some thick clay slip ,about 2.5 gallons, then push into the slip, the fluff from the heads of three to four cattails.
keep pushing it under...it wants to float... once its soaked - saturated . smear the clay out on a piece of formica (or lay it out on a cloth on a concrete surface to dry.)
you can also hang it in a cloth bundle from a tree to dry to the plastic stage.
this mix is NOT The clay you will build a pot with...this is only the starter mix. keep it stored in plastic( or in a cave) out of sunlight (it will sprout!)
whrn you are ready to make a pot take a good pinch of the cattail mix and add it into your clay,wedge it in good
till when you pull pieces of clay apart you see the fibers all through it.
Find a round object (ancients would use an old cooking pot.) you can use a bowling ball or a round plastic light fixture to get your first cooking pot from.
---pad out a fat tortilla of clay and coat it thickly with fine wood ash. I use a paint brush to spread it on the clay tortilla.
plop that ash side down on your rounded form and with a wood paddle begin to paddle it over the rounded form evenly.
CHECK IT OFTEN so its not sticking...if its sticking even a little, flip the bowl form into your palm and add more wood ash.
eventually you will have the rounded base of your pot made. the cattail fuzz will keep the pot from cracking and you are working with gravity
when you paddle down over a form. let it stiffen up a bit before you remove it from the form.
to remove it from the form flip the form upside down(pot and all) and let the pot slide away into your hand.
then set it in a bowl of sand or a dry mud bowl with a rounded interior to hold it.
this is just the first stage but i think you'll like cattail fuzz clay, you can paddle it very thin, which is what you want for safe firings.