Bear in mind that NW pilot has been posting some outlandish things that have had him repeatedly run over the coals by a number of respected professionals lately (here and elsewhere)...take what he's offering with a grain of salt. A big one.
With your routing, you miss almost all the big hills, unless you're wanting to see them. Going down over Rock Springs, Salt Lake, and west following I-80 to Reno will work. You may see weather along the way, but that's a flight planning issue. If you drop down toward Cheyenne and follow I-80 toward Rock Springs and Salt Lake, you miss most all the hills. You'll have a few hills between Rock Springs and Salt Lake (Wasatch and Uinta ranges), and then a few between Wendover and Elko (Ruby Range). However, following the freeway you have the most available airports (which aren't many) to consider, the safety of a very long, straight, unobstructed highway with light traffic beneath you, and the clearest path to Reno.
I always advise folks traveling in the mountains to take not only a sectional, but a low altitude enroute (for frequencies if you need to contact higher traffic to pass on a message, primarily), and a road map. Roads follow the lowest terrain and mountain passes for the most part, and give you some good insight into flight planning for low, VFR trips in terrain.
You won't really have any terrain of any significance until you get to western Wyoming. After that, you have several good airports along the way, some with fuel and some without, near the freeway. Following the freeway is the safest bet, and there's still plenty to see.
Have a safe flight.