Med temps,low humidity and air movement will give you the best results. If you have a hot box with a fan or leave it on the radiator you should get good results. On the sinew backed bows I've made I used 3 layers of sinew but gave each layer a month on top of the hot water heater before adding the next.
The ancients would give a sinewed bow(composites) up to ten years or more to cure properly. It can be done quicker. I'm sure you will hear how from others. Pat