I think it would be pretty bad-ass.
You're young, so you recover fast.
You lift heavy every week, it's not like you've been training on a 16 week, linear PL "peaking-plan." Your strength level is pretty constant week to week, right?
Think of all-time great strongmen/power lifter/throwers like Geoff Capes, Don Rienhoudt, Jon Cole, Kaz, Jon Pall. They'd lift anything, anytime. I'm sure they had competitions back to back sometimes.
Or even Cleave Dean or Magnus Samuelsson, just farmers who come out of the fields and show there are strong as hell, all day, everyday.
Work some front squats and power cleans in with your back squats and deadlifts. Try some farmer's walks with 1 arm and 2 arms. You may build some new muscle, and even get a PR total.