Most commercial dehydrators are too hot, unless you get a very expensive one, OR make your own. Here are instructions:
http://www.rawpaleodiet.com/wp-content/uploads/2010/06/JerkyDrierInstructions.pdf.
I have bought 100% grass-fed beef from the rump, like eye of round, London broil, rump roast, and sliced it thin, put it on stainless steel barbecue skewers, and dried it in the homemade dryer from that link. The whole set-up cost me about $13 dollars two years ago. The instructions are very easy. Completely dry beef is only necessary for certain types of packaging/storage. You can taste the meat at several-hour intervals to find a stage you like. You can set up a dryer like this in the garage or anywhere, if that helps you with family matters. There might be some beef-juice drippage, so put a cookie sheet, aluminum foil, or something else underneath the whole contraption to make clean-up easy.
Your family might object to refrigerator aging and drying, but that is what I prefer. I like beef aged anywhere from one week to three months... by then, I've eaten it all up. The longer aging makes a very dry, unseasoned, jerky-like beef. After a few weeks, the beef gets about the same consistency as prosciutto, so it doesn't really gross people out - at work, I tell the curious that I'm eating sashimi (even when it's raw beef), beef prosciutto, or anything that will ease their minds and repel comments.
On a small, experimental scale, you can put a steak or two on a plate in the fridge, turn it daily, and slice off pieces to see how you like it at different stages of dryness. If it makes your family feel better, you can put a plate on top, too, so it looks like you are just avoiding plastic packaging. Air circulation is vital to this type of drying process, so that's why you need to turn the meat if it's on a plate.
Remember to use ONLY 100% grassfed beef (or lamb) when you eat raw. This is your only protection against the bad bacteria that appears in corn-fed or corn-finished feedlot animals.
Have fun!