Padrefan might have the answer, the left over dripping from that liquid smoke. When you use it in the oven as you first stated, the pan which it's on gets washed and I am assuming nothing drips into the oven.
I use the foil in my smoker over and over until I feel it's too crusty. There is plenty of left over meat grease in there and I have never had a problem. I have also reused wood before that has not completely charred or burnt to ash.
Let us know how your next smoke goes. You are lucky you raise your own, it certainly was a shame to waste all that beef, but imagine if you had to pay what us regular folks do for that cut! Good luck.