Hide them behind the furnace, dryer, fridge, above your work lights or any appliance that puts off heat. If you can get the fan pearlie suggested on top of it, you'll be all set. This year mine took 3 days by the furnace. I just put the first layer on a bow that was waiting for this year's round of sinew.
If the wifey doesn't appreciate the rustic decor you can cover it with a few layers of cheesecloth and it shouldn't hurt the drying much. It won't be as much of an eyesore I'd imagine. My wife also gets rid of my sinew, except she steals it to make string for necklaces after she saw it was stronger than her hemp.
