My Strantz experience is more extensive (4 courses) to Engh (1 course), but I'd say it like this: Think about standing water sports like wakeboarding, waterskiing, etc. You can fall spectacularly, but if you fall straight to your back/butt and it looks significantly crazier than it actually was. On the contrary, if you go face first, it hurts as bad or worse than it looked. I'd say Strantz is the former, Engh the later.
Just highlighting the relevant points of TR rather than a full discussion since there are plenty of threads already...the brilliance of Tobacco Road is that it isn't nearly as hard as it looks after you've played it a few times. There's a lot of visual eye candy, but the landing areas are very generous and the greens are pretty receptive. If you get in trouble, just take your medicine and get back in play. If you're on your game, you can shoot the round of your life there. I've also always said it's a brilliant move to call the tees random names like "disc" and "plow" rather than using colors or numbers so that people don't realize they're playing 500 yards less than they would otherwise. TR is also sneakily not a bad walk until the 12 to 13 and 14 to 15 green to tee walks. Bulls Bay is a fine walk outside of getting up to the clubhouse.
The one Engh course I've played (many times) is Hawktree. I thoroughly enjoy playing it, but if you don't bring your A game, it can be a rough day. There are a lot of tough visuals and the tall grass on the edges evokes memories of Kevin Na at Erin Hills. I once played in mid July and the guy in the clubhouse told me he thought I was the first person to walk the course that year. I had a really solid round going, but then the walking caught up to me around the 15th hole and I suddenly lost 4-5 balls in those last 4 holes. There's no way to manage yourself around the course if you're off. I'd also say 95% of the wildness is tee to green rather than on the green. That said, there are a lot of fun elevated tees with great angles. There's a lot of "S" architecture where staying close to the trouble off the tee gives you the best angle on the 2nd. My criticism would be that there should be a little more give-and-take (see Ran's new profile on Southern Pines). This is a little more of a funhouse version of RTJ's better works, emphasizing the "tough par" mentality.