It's naive to think that you can increase all 4 lifts at once. Even when training 3 or 4 days a week it's best to push 1 or 2 lifts hard and let the others coast a bit.
I prefer to perform all 4 lifts in a week, regardless of the time I have to do it in, thus my suggestion. Day 2 might be difficult at first, but your body would adapt. If John Broz and his lifters can squat heavy 7 days a week, then pulling one day and squatting the next shouldn't hurt you.
Finally, 5/3/1 is about training optimally, not necessarily maximally. So, if your program is set up so that you honestly can't handle all 4 lifts over two days, then reassess your program.
Let us know what you decide and how it goes. I hope you find a template you like.