I ran a squat-bench-deadlift (or some variation of each) every day program for several months. It was low volume per day, say 3-4 sets of 3-5 reps of each, at whatever a reasonable percentage was (probably 80-90% of 1RM depending on what was programmed for the day). It was fun but I didn't make a lot of progress on it...my recovery ability was great, but my strength was meh. What you're describing sounds like even closer to a Bulgarian Method. It could be worth a try, see if it works for you. Some people like it, some don't.