What kind of beer did you make? In all of my 3 batches (I know, impressive number right?), none of them were properly carbonated until 3 weeks.
My humble (and likely noobish) advice is wait 3 weeks at the warmer temperature, then stick one in the fridge for 24-48 hours before sampling. If it is carbonated properly, then consider a different location for storage. Since the storage may depend on the kind of beer (clarity, aging, etc), you may want to trust the advice from a more experienced brewers.
Beneath this mask there is more than flesh. Beneath this mask there is an idea, Mr. Creedy, and ideas are bulletproof.