Jack,
I have to say that I really dont reccomend "trapping", which as you said, CAN injure deer. The way that I have and will this year, is to concentrate on well known trails and feeding areas. I also like to look near barb wire fences as such can knock antlers off while deer attempt to go under them. I also HIGHLY reccomend following fire breaks and woods roads as deer travel more freely now that they do not recieve no hunting pressure. Varmits will destroy sheds if they are lying in the woods any lenght of time. You say that u don't have much time, another thing I do is to case the areas I mentioned by riding a four-wheeler. It is quicker and safer as snakes are begginning to find their ways out of holes. A four-wheeler REALLY takes all the work out of it and allows you to cover more area. I feel obligated to tell you that I am only 19 years old, so you may not want to follow my advice, but the tips I gave have worked for me. Finding sheds are a GREAT way to get an early jump on next years BUCK! Well, hope I have been helpful. Good luck, and good hunting!

Rather B. Hunting