Well seems your in the right hobby with those back skills. You cant really change how hard to pull the trigger. If you feel comfortable you could install an higher end electric trigger board like a Gate. I also suggest reading about shimming a gearbox. With the 11.1 lipo you could also get a high torque motor with neodymium magnets. That would also let you use a decent m120 spring (400fps spring) with a snappy trigger. Don't go high speed it will mess with things your not ready to get into yet.
But keep in mind, shorter trigger pulls must match the cycle rate of your aeg, of the gearbox is too slow you won't be able to pull the trigger as fast as you can. I have a 4mm pull on the m4. Higher torque motors typically have faster trigger response, while high speed have faster rate of fire. Keep in mind there are also faster or slower(torque) gears, many pair a high speed gearset with a high torque motor to get really good trigger response with a decent rate of fire. Having a high speed motor with a high torque gearbox can cause crazy overspin in semi causing double shots due to the amount of weight spinning at higher speeds, while a electronic trigger board can slow down the motor right after each shot, it tends to heat the system up more.
The other option is a very complex mechanical hair trigger mod (I have a guide) but that requires a switching board (mosfet) and a lot of experience.
I recommend reading around about high speed builds and following techs on social media, you'll see quickly what others are doing to get that extra edge. Keep in mind however, airsoft parts typically are never drop in. Every brand of every part always have slight differences and it can be a pain sometimes, even same brand parts don't always work together perfectly.
Hope I didn't blab too much and hope that helps.