That's a tough question. The wise and careful money would almost always be on not riding alone in many venues. But, the wise and careful money probably isn't anywhere near riding a motorcycle under most conditions anyway.
If I limited my dirt motor trips/rides and my mountainbike trips over my lifetime to the times that I could muster up another rider to go with, I would only have had about 1/3 of the trips experienced. I go a lot. On my solo rides and trips, I usually rode more within an envelope of safety and exposure...most of the time. I'm also a believer in protective equipment like body armor and the whole shooting match. Careful almost anal bike preparation and service helps too...along with having some tools and flat fixing equipment.
I've ridden in Utah, Colorado, SoCal, and other remote areas by myself for decades and didn't have any life threatening situations arise to speak of...even before widespead availability of cell phones...that often wouldn't have had service anyway.
On the SHNF, I used to race the Caney Creek Enduro there. Do they have a Ranger station anywhere in the area you'll ride? I've been in areas where you can advise a ranger or BLM rep where you'll be, and that you'll check back in when you're through. The caveat is that you must obviously follow through and check back in. I also stay in touch with my wife in areas where I can get cell or pay phone coverage these days. I tell her what general area I'll be in and when I'll check back in. If I dont, she'll call out the cavalry. Yeah, I might still lay out on a trail for awhile somewhere, but hopefully not for days...LOL!
It's a hard call, but it's one only you can make. Do you have kids? Do you have other responsibilities of a personal kind that might hinge on you not getting back? You just have to weigh those against not enjoying some aspects of life. And please understand I'm not trying to get "preachy"...it's just the way I've dealt with it. Now I see these emergency GPS locaters that are available. Lots of pros and cons about those, but pretty neat when a real emergency pops up.