The dynamic mechanical analyzer is the most sensitive technique because the storage modulus of the glassy region can be more than 100 times larger than that of the rubbery region.
So it seems that you already have the answer. I agree that DMA (and even TMA) can be much more sensitive than DSC. However, it also depends on the shape and on the amount of sample. If you have a very thin film for example, DSC will be not enough accurate, whereas penetrometry through TMA will be perfect.