I'd love to know how you manage a 100-105 power level boost on your engines. I've managed +40 to base on my Fed but nothing anywhere near what you claim to have done.
Efficiency + Performance skills + Borg/Adapted Maco engine will get you to roughly a 50 base (actually a little higher than 50, but YMMV depending on how deep into Efficiency and Performance you go). Plasmonic leech + Engine Singularity core will get you past 80, and the rest is the Warp Core doff.
Bonus points for an engineer, since I cycle and EPtX every 15 seconds, and they get an additional power boost to all systems from that.