I think the answer depends on how you (or anyone) wants there balance to tilt. If you want tons and tons of GPP but to be stronger than the average CF person, do one of the things you said in your first post. If you want to be really strong with a little conditioning there are other things you could do. I think Jim Wendler's 5/3/1
would be a perfect fit for you. It's focus is the squat, deadlift, bench press and press, with clear paths for strength increases, and with plenty of room to do whatever you want on the side. The "complete" version of the program even calls for a fair amount of conditioning via hill sprints and prowler pushes.
I find it's an easy program to stick to, because you can pretty much do what you want with it, if you want to squish the main lifts into 2 days a week and do just a little accessory work in the gym and some out of the gym, it works perfectly for that. If you want to spend less time on strength and more time on conditioning, that works too. If you want to spread it out to 4 days in the gym so you can work harder on each movements accessory work for each lift, cool. Incredibly flexible program, that seems to be working for me..