300bench/400squat/500deadlift is extremely realistic by the end of the year, that’s not even questionable.
If you are looking for some programs that are “Holy Grails” for putting on poundages ASAP , here are a few…
Squat : Smolov (You can easily get ~30-40pounds in about 3 weeks on the Mesocycle alone. The entire program will most likely get you anywhere between ~60-80 pounds)
Bench : Smolov Junior (You can get about ~20-40 pounds in about 3 weeks on this depending on how insane your newb gains are from high frequency)
Deadlift: Coan/Phillipi (People have added anywhere between 45-100pounds through the cycle to their deadlift)
Also, I would like to let you know, many people find their deadlift goes up quite a bit just from the Squat program. There is no way you can run these “Specialization” programs at the same time.
The best bang for the buck on ‘insane’ Squat/Deadlift gains at the same time would probably be to run a Base Mesocycle of Smolov. Although you don’t Deadlift, you will be able to add back work about 1x a week, and the stronger legs/posterior chain will make your Deadlift go up inadvertently while your Squat flies through the roof (just be wary…you have no idea how hard the program can get).
The benching program isn’t as bad; but most people end up having to spread it out to 3 days a week instead of 4 because benching Friday->Saturday with heavy weight screws some people over. However in that month span, I have seen individuals post on many forums/websites some absolutely insane gains.
It seems the average most people get is about ~20-25 pounds after testing their max 1 week after the program. However, MANY people have also had insane newb gains from the bench program because their body is not used to benching 3/4x a week with so much frequency & volume. A guy legitimately went from a 365-405 bench in 1 month on it. It’s basically ridiculous, but that’s how well his body responded from the standard 1-2day ME/DE bench a week to 4X a week (he did nothing but the bench program though…zero leg training).
Once again, these are all SPECIALIZATION programs; in other words - you can’t use these long term and recycle over and over after you finish each cycle. You will quickly get burnt out,etc. (However, people have ran Smolov Base Mesocycle or Smolov Junior Bench program after about a 1 month break or so from finishing the programs successfully).
If you’re looking for long term programs, I think the Sheiko Programs (with +5% added to the bench + pausing reps) 29-37-32 in that order are a good start. Some people even just do 29-37-37-37-37-32…basically just repeating #37 with their new tested maxes over and over until the #32 peaking cycle.
5/3/1 is fine and dandy…but too many people complain the gains are WAY too slow in comparison to other programs. It is good and LONG TERM for ADVANCED lifters because they can’t keep adding 15-30pounds to lifts a month; but you are Nowhere near that level, so stick with what will give you the fastest gains without burning out.
Also, you might want to use MADCOWS 5x5 for your Squat/Deadlift. My friend got to a 585 squat using that program alone. It is absolutely incredible, and although I don’t suggest using it all the way to 585… it is renowned for getting people to about the ~400squat/~500deadlift level pretty well. Since your squat is 315,deadlift is 350; you may want to *FIRST try STARTING STRENGTH for the Squat/Deadlift to see how far you can progress. I am on RegParks 5x5 myself, and my Deadlift is already 405+ from it with zero stalls, so I’m pretty sure you will be able to get your Deadlift up a lot more from even just simple Linear progression from Starting Strength.
Hope this helps
(EDIT NOTE: I think your Squat/Deadlift could actually STILL benefit off Starting Strength or any 3x5 program. Follow SS to the teeth for the Squat/Deadlifts , and continue doing it until you have stalled based on their definition of stalling…which I think is having failed on a weight 3 sessions in a row, then resetting 3 times in total and having still failed…it will go pretty far until you have to call it quits.
After you completely stall on SS, hop on MADCOWS for your squat/deadlift…it will get you to the 400/500 markers without specialization programs unless YOU DECIDE you want to run the specialization programs.
YOU HAVE SEVERAL CHOICES HERE!! You can either do the SS->Madcows->Specialization or Sheiko Programs back and forth … or you can try and jump the gun and just go straight into the specialization programs that make your lifts explode; but I think it may be better to go ahead and start with SS/Madcows! )