Safe Led resistor path
Yes this will work. The concern with parallel leds is overblown (pun intended), but having one main resistor with smaller parallel resistors for each led string will work, as long as you calculate the right resistance and power ratings for it. Basic Ohms law applies. As the current draw of your LEDs plus small resistance changes, the current and thus the voltage across your main resistor will change and then the current and voltage across your small resistors and LEDs change (imagine a see saw trying to balance itself with moving children on it). You may need some trial and error to find the right value.

The resistor in essence is a poor voltage regulator for your led strings. You would be better off with using an actual voltage regulator and each of your small resistors. With the voltage regulator you get correction of the output instead of a variable drop based on the current draw.