The Akasa Apache are 0.33A current rating so I'd need to use a PWM splitter which gets power from PSU.That is kinda like asking, "Can I drink of these containers full of water?" We have no idea what the power requirements of the 3 fans are, therefor cannot give you an accurate answer. Motherboard fan headers are usually rated up to 1a / 12a load. Fans use much more power at startup than when running, so I would not load a fan header with more than about 0.7a / 8w of load. If your 3x fans have a combined total wattage of below 8w then yes you can run all three from motherboard fan header.
Also, the Apache fan speed is between 600-1300RPM, can it go lower than 600RPM?