First, a couple of things that are very, VERY important.
1 - at your stage, it doesn't matter too much which program you follow as long as you follow it faithfully and consistently for some time (we're talking six or so months at least here). Don't hop between programs just to 'take things to a higher level' as soon as you see some progress as it won't help you. A nice and simple linear, progressive overload program will do just fine. So, I'd say if you had good results with Candito's program, stick with it. You progress will slow down over time, but that's normal. it doesn't mean you need to immediately change to a new pogram. I've been using pretty much the same approach since mid 2014 and I've put 60 kg on my squat, 20 kg on my bench (weakest lift for me) and 47.5 kg on my deadlift in that period. I did make small changes (along the lines of 3 reps per set instead of 5, for example) here and there but ONLY when I had ample evidence something needed changing at the end of a 12 or eight week cycle.
2 - get your hip right. Drop the Sheiko, as the risk of making things worse is too high. Squat once a week, and not for too many sets or reps, until your hip is fixed. If wide stance hurts, go narrow and vice versa. If front squats feel better than normal squats, do front squats instead. You don't want you hip to recover 'a bit' but COMPLETELY. Think about it: what would you prefer: small strength increase and a messed up hip which will pretty quickly stop you lifting; or a small loss in strength for a short time, a happy hip and long term big strength gains?
I think peaking is something to look at, but I've been through two meets so far and all I did was stop normal training a week out and have a light session three days out where I ramped up to doubles or triples of my openers. Peaking is probably more relevant when you're more experienced. Set some realistic goals, set your opening attempts as something you KNOW you can hit no matter what (hence something you can hit for an easy triple); your second attempts you can try for a small PR if you like, or equal you training PR; and assuming you're six for six by this stage, then see how you feel for your third attempts.
You will be better served by focusing on your technique and senisbly adding load to the bar than anything else.
So, in summary, go back to Candito and get your hip right. Don't overthink things too much, be patient and keep it simple. Try to find a powerlifting gym to at least visit too.