Sure, I would recommend on doing some reading on working with a "daily max." That is essentially what I did with all of my main lifts, every day. Over time, I would add in a back off set or two after hitting my daily max.
Basically, if you're interested, start out with just working up to ONE heavy single. Doesn't matter what the percentage is, but the idea is to do triples until it feels heavy and the bar is slowing. You will get a feel for it over time, but you will work up to a "daily max single." Basically, you want to stop if you have to get yourself really aroused and psyched up to do the lift. The training overall should be pretty chill mentally. All of your lifts, for the most part, should be very controlled and smooth and under 9 on the RPE scale for most days. Occasionally, you'll feel really good, and it can be a good idea to go for a personal record. However, for most days, you want to develop a minimum number you hit. So, for example, say you are squatting, and your max is usually 450, it might look like this:
135 x 5
225 x 5
275 x 3
300 x 3
325 x 3 (feeling good)
350 x 1 (super quick)
375 x 1 (good)
400 x 1 ( little slower than I would like)
420 x 1 (ehhh, sort of a grinder at the end, better stop there)
Your daily minimum there would probably be something like 385 or something in that ball park-- because some days you just won't feel like driving a super heavy weight. Again, that is something you will just discover on your own over time. On other days you might hit 450, or even 460, and others 385 will feel pretty shitty.
With benching and pressing, I played around with 3x3, 2x2 and daily max singles as well. I found for my bench, it got really strong with doing 3x3 on one day, going for a heavy single on the other day, and then doing heavy doubles on one of the other days. Again, I never used percentages I just started experimenting and I discovered sort of my range. I think everyone is different with their body, and I would caution about hitting too much volume too soon-- just so you can see how you respond to daily heavy training. I would definitely go on the very, very low volume end and be conservative with your lifts for several weeks before ramping it up with the intensity. Then for another block, see how you do with relative high intensity with no back off sets at all. After that I think it can be a good idea to add one set here and there, but I did it slowly, and I felt my body did pretty well with it. Also, the whole thing should be very quick. In the example above, that shouldn't take you more than 10 minutes or so. Basically, load the weight, get a drink of water and hit the next set. I never really sat down or anything, I was moving the whole time and getting it done.
As far as, deadlifting, I haven't ever deadlifted outside of one day per week my whole life... so I have no experience with that. I'm sure you can do it, but I would personally keep the pulling under 90% for sure, and I would just hit very fast powerful singles or doubles. Again, my experience has been to experiment with it and see how it works for you.
EDIT: Also, one more thing. Eventually I got to where I would go for rep PRs instead of just doing a single or I would go for 2 second paused sets for a max 3 or max 5 for example. Again, not going balls to the wall, but still pretty challenging.