MTB -
Tsali Right/Left is a beautiful ride and pretty beginner friendly. Not a lot of climbing, lake views for at least half, not a lot of tech. The other trails there (Mouse/Thompson) are not as scenic, a little more difficult, but more fun IMO. The pairs alternate horse/bike only from day to day. Check their
website.
Bent Creek Experimental Forest is north of DuPont, so closer to Asheville, and probably a bit more moderate than beginner, but there's a ton out there and what little I rode was fun.
I've never been told there wasn't good trail riding at Natahala Outdoor Center. Definitely worth visiting nonetheless. It's beautiful and maybe the locals were protecting the secret stash.
Everything I've ridden in Pisgah was moderate and up. There may be beginner stuff there, I just haven't ridden it.
Fire Mountain in Cherokee, NC is fun as hell. The climb up kinda sucks (~750 in vert I'm guessing), but the downhill more than makes up for it IMO.
Disclaimer - if you mean beginner as in out of shape and hasn't ridden a bike in 20 years, looking for a flat bridle path to ride for 30 mins, any of these is prob a stretch. If you mean reasonably fit to ride 2 hours with some climbing, have ok bike handling skills, know your limits, etc., you can handle any of them and have fun doing it. Not trying to be a dick at all with that. I've just seen a lot of dudes drag women and children WAY in over their heads. It's so easy to forget what it was like to be a true beginner. Also, I just got in from my local trails in the sticks NW of Atlanta (shout Blankets Creek). It's jungle hot out here man and probably not a whole lot better up there. Bring plenty of water and electrolytes.
Have fun and post pics!!