When you are contemplating Atterberg limits, you are generally talking about clayey materials, and particularly plastic materials. The reason for the limits on the temperature is that higher temperatures will actually drive out the moisture within the clay particles, thus inducing very high van der Wals forces or the forces that make clay particles bind together (that's why we can "fire" clay and get pottery).
I would generally NOT use oven drying for clayey materials...they will dry adequately with a bit of manual manipulation in a "laboratory" humidity environment. If you must use something to dry the material toward its plastic limit, use a dessicator.
In my laboratories in the past we have limited the temperature to much lower values (105F or so). So what if it takes a bit longer to dry....hopefully that's not the only thing you have to do!