Not overkill. Better to have 2 140mm spinning slower (quieter) and providing good air flow. The top mounted 120mm may or may not improve case airflow. IME, top mounting intake or exhaust fans hinder more than help when using an air cooler. Getting good clean front-to-back airflow is usually best. Can experiment from there.
You didn't state what cpu cooler you plan to use. Whether an air cooler (tower or pancake) or the devil's watering well. Going to assume you plan to use a good tower cooler like a D15/Thermalright Macho/Scythe Fuma/DR4.
Regarding the 25dbA requirement - fan noise specs are tested in free air. As soon as something is placed near them, like an intake grill or cooler fins, noise will increase. Have used the Lancool in the past and it's intake grills are fairly restrictive - can expect some noise from turbulence.
I use fan shrouds for intakes (either purchased or made from 'donor' fans - coolermaster 140mm case fans are excellent volunteers). Helps to reduce both noise and improve directed airflow. Shroud is mounted to the case - using soft rubber grommets. Fan soft-mounted to the shroud. I also use custom dust filters that are fairly restrictive - it's a dirty world - the shrouds help reduce turbulence through the filters.
Improving the case exhaust efficiency can be performed by removing pci slot covers and nibbling out the rear fan grille. Those metal grilles can block 20%+ of airflow. It also makes reaching around the case to tweak something at the back more exciting. ;-)
Haven't found any 140mm that can be run quietly above 1000-1200 rpm. Using 1300rpm+ 140mm intake fans will blow right past your 25dB goal.
You didn't state any fan brand preferences, so... have to go with my own. Noctua 140mm options abound (NF-A15+ULN, NF-P14s redux PWM, industrialPPC-24V-2000@12V). For a price. The redux models are a decent value tho.
The low speed BeQ Silent Wings 3 are very good, if pricey (
ehume review). The Thermalright TY-147 sq is a good option as well.
ehume's 15 case fan review has even more fans to consider...and then get a pair of the ones I suggested. ;-)
For the 120mm, the Noctua NF-P12 redux is great - smooth sounding fan - one of the best 120mm case fans - now redux-priced. Prefer the PWM model, as I like my systems to inhale and exhale in unison.
Note: Buy twice as many fans as you need. Probably 3 times as many. Building a good fan drawer collection is almost as satisfying as building the PC. ;-)