I see nothing on your list that would have a gamey taste to it...especially since it will be covered up in all the sauces and marinades. Go ahead and serve the good stuff and while presenting it to your guest explain without going into graphic detail about your trip and what it took to harvest (kill) your animal.

"Or just cook them a regular beef burger because they wont know the difference."

But you will know the difference and if it were me that would bother me to pass off a mangy piece of beef for the real thing!