We designed a 26' x 26' x 12' pentagon shaped pier cap to carry a 300 foot tall, 15' diameter concrete mast for a domed stadium some years ago and had a similar design decision regarding the approach to analysis and reinforcing.
While we did everything we could to specify temperature control in the mass concrete, including monitoring instrumentation, we decided to approach the stress/rebar problem with a sledgehammer instead of a more precise design.
Essentially, we looked at a combination of flexural behavior (yes, I know its a big mass of concrete that doesn't really behave in flexure) as well as some shear calculations to ensure that the individual piers (6 of them) wouldn't create a shear friction issue - see ACI 15.5.
We ended up with a top and bottom mat of steel and a middle level mat. All of which were tied together with vertical stirrups which followed the path of interior "beams" within the mat spanning from pier to pier.
Short of the above, the only other concept would be to model the mat with 3D finite elements. Even then, you would get your stresses but it would be difficult to model the thermal stresses which might develop within the mass.