I'm not sure that you understand the difference between 4/4 and 3/4
everything you have stated is about triplet beat division in any time signature
If you use 1/4T as your main beat then dividing them into 1/8T or even 1/16T is fine as the relationship is 1:2:4 i.e. beat:half beat:quarter beat.
However, what you describe is more like 12/8 rendered within 4/4 i.e. you are dividing the 1/4 note beat into 3 equal parts (3 x 1/8T) and then playing these over all 4 1/4 note beats making 12 equal divisions of the bar
3/4, on the other hand, means using the 1/4 note as the beat but only using 3 of them
comparing 3/4 vs 4/4 with 1/8 note division of the beat
3/4 - 1-&-2-&-3-&-|-1-&- -2-&-3-&-|-1-&-2-&- -3-&-|-1-&-2-&-3-&-||
4/4 - 1-&-2-&-3-&- -4-&-|-1-&-2-&- -3-&-4-&-|-1-&- -2-&-3-&-4-&-||
comparing 3/4 vs 4/4 with 1/8T division of the beat
3/4 - 1-e-u-2-e-u-3-e-u-|-1-e-u- -2-e-u-3-e-u-|-1-e-u-2-e-u- -3-e-u-1-e-u-2-e-u-3-e-u-||
4/4 - 1-e-u-2-e-u-3-e-u- -4-e-u-|-1-e-u-2-e-u- -3-e-u-4-e-u-|-1-e-u-2-e-u-3-e-u-4-e-u-||
lastly 1/4T in both 3/4 and 4/4: in this configuration, beats 2 and 4 disappear from 4/4 entirely (there are six strikes per bar), whilst in 3/4 the beats cycle around 1,3,2 (with a varying number of partial "beats" as a result: bar 1 has 5 hits bar 2 has 4 hits bar 3 has 5 hits and bar 4 has 4 hits)
3/4 - 1-u-e-3-u-|-e- 2-u-e-|-1-u-e- -3-u-|-e-2-u-e-||
4/4 - 1-u-e-3-u- e-|-1-u-e- -3-u-e-|-1-u- -e- 3-u-e-||
Some audio would help me understand your real problem and provide a solution that is both meaningful and useful