I'm trying to use my raspberry as a media center with an Ambilight system and I need to power around 120 leds.
I know I won't be able to get enough power using microUSB, so I've made some modifications on the pi to get voltage from an external power supply (5V 10A), like this :

As you can see, I connect the PSU to a barrel jack, it has a 1000uF capacitor to stabilize input current, and it's connected to the C6 capacitor of the raspberry for safety. Everything runs fine.
Then I need to power my 120 leds strip (ws2812b model). At first, I wanted to make a fork and don't rely on raspberry to get the 5v needed to power the leds (as seen in the picture above) but unfortunately, my leds don't work if I use 5v for power and the +3.3v of GPIO18 for signal data : I need to use the same voltage for both. As my PSU is 5v only, I tried connecting power to +3.3v pin (PIN #1) with only 3 or 4 leds. And it works.
But the problem is :
I suppose it's not safe at all to use this +3.3v pin to power my 120leds, which need way more amps than 50 mA, even if I use an external PSU...? Can you confirm it would fry my rasp if I try that?
If it's not, do you know another solution to get the same voltage for both data and power?
Thank you!