hoping that by using more of my "soft skills" and thinking about architecture at work, I'll be able to come home and work something like a solitaire solver without feeling like it's "non-productive"
Being recently hands on with the technology helps coach and assess reports and means you know the real situation of the software.
Being a manager, if you carve out enough space, lets you make a highly productive, happy, successful team, and sometimes you might be the best person to do that.
I think I'd find only doing one forever more a bit tiring!
I was able to eventually cool off on technical burn out as a manager and went back to working on some personal projects. Eventually though, sitting in meetings all day for 12+ months had the same mental effect and I lost motivation and burn out increased. I'm back as an IC now and balancing my time better.
I think the better solution may be to find a way to pace yourself at work so you aren't slinging code for 8 hours. It's unlikely many of your coworkers are doing the same. I think it's important to find a sustainable pace at work and to just say no to the rest. Hopefully your company supports that.
Most products/projects aren't like that that though - but perhaps the pressure is still there?