Unfortunately, we cannot recommend using Suspend SC or any other insecticides directly on animal mounts. You could use Suspend SC as a crack and crevice spray in the room where they are present, but we would not recommend spraying them directly. If you would like to tell us more about what pest you are treating, then we may be able to give you more specific treatment advice.
There are no temperature restrictions for applying Suspend SC.
We would recommend using Cyper WP. This can be sprayed around the baseboards and cracks and crevices indoors. Outdoors, you will spray around the perimeter of your home. You will use two scoops per gallon of water. This is residual product and will work for up to 3 months indoors and 30 days outdoors. It can leave a powdery residue because it is a wettable powder. Once Cyper WP is dry, it is safe for pets and children to come into the rooms that were sprayed.
If you are wanting something that will dry clear, we would recommend using Suspend SC. You will use this around the cracks and crevices indoors and around the perimeter outdoors. You will use 0.75-1.5 fl. oz. per gallon of water. Once Suspend SC is dry, it is safe for children and pets to return to the area.
Both of these products will kill and keep killing the spiders.