If you're at 220 for bench with 16" arms, you're either built lanky with long arms (more like a natural puller), have unfortunate pressing strength, something is really off with your bench technique, or you're talking about using 220 for working sets of 3, 5, 8, or even 10 reps.
I'm also a guy with strong fitness, both aerobic and anerobic, and I definitely get the sense I have a recovery advantage over most other lifters. It's amazing seeing what a set of 8 deadlifts does to some of my lifting partners compared to how it affects me.
As far as workout structure, not really. You probably have bad bench technique (it's arguably most technical of big 3), have minimal squat technique, and haven't pulled at all. Which means that for you developing good technique is priority one. Bad technique = less weight lifted = less muscle gain. Also = vastly greater injury risk = missed gym time -> we all know how bad that affects progress.
So sure, you could probably walk in and bench 200+ for 5x5 and make progress from there. However, that's too heavy to learn good technique if you're benching 220. Go back, and start at 135 or even less. Make the technique there perfect. Treat every warm up as if it were a competition lift. When that's good, then take a jump in weight.
In terms of the actual training plan, it's hard to tell how new of a lifter you are. In many ways it sounds like a troll. 220lbs bench, 16" arms, etc. asking about lifting advice. Unless you're fat you don't get 16" arms without having spent plenty of time in the gym...especially when coming from a running background. Harkening back to that new runner basic plan, think about why and what elite runners do different:
1) They do more (higher volume)
2) They are more nuanced
Why #2? Because they want to train something specific. They need to optimize a particular race discipline (i.e. 1500) and perhaps they need to optimize a specific aspect of that (anaerobic cap, speed, etc.). As a new lifter, everything is untrained. Anything you do will bring you massive gains as long as you follow basic principles (namely progression and eating so that the scale goes up). So you don't need nuance in your training. As far as other potential differences one might be "could I increase the weight faster"? Maybe. And if you're technique is perfect then taking bigger jumps is fine. That said, linear progression moves fast. You might get 2-3 weeks ahead of where you would get with "aggressive jumps" vs the standard. Not a big difference. Finally that leaves recovery/volume. This is one area you might be able to get away with more than a novice. You might find, especially at first, you can do 4 days a week of lifting and still find yourself recovering (this will become less and less possible, especially as your squat/deadlift go up) and moving up to higher weights. Be careful, injuries can creep up, but if you're recovery is good enough then there isn't anything wrong with upping your volume a little compared to the classic 3 days a week program.
Focus on big 3, then compound accessories (BB Row, Weight Chins, Farmers Walk, etc.), then finally isolation/dumbbell/machine stuff. It's okay, but almost universally natty lifters respond better to moving large weights with big compound movements. It's largely the steroid boys that can do "fluff and pump" and see big gains. For non-geared lifters, it's all about big exercise and moving more weight, with a few supplementary exercsies afterwords as energy allows.