I am trying to chain together 5 LEDs in series, and 10 sets of these 5 chains in parallel. I am running into a voltage issue, as each LED has a power draw of 2.2V. I have looked into a couple of different solutions, and am looking for opinions on what would be optimal. If it helps, I am making a turn signal system for a bike. I am looking specifically in using the VIN pin with a 12V power supply and transistors. Any input is welcome.
You can't do that directly from an Arduino output.
You need a transistor to sink current from a 12V source. An Arduino output controls the transistor.
I would recommend AOD514 from Digikey if you are comfortable with surface mount parts.
I am running into a voltage issue, as each LED has a power draw of 2.2V.
It is vital you get your vocabulary correct when talking technical matters.
Each LED drops 2.2V across it, this is not a power draw.
So as you have found out 5 times 2.2V = 11V.
In order to have enough voltage to make a resistor work as a current limiter you need one or two voltage drops spare so to speak, so you are looking at a voltage of about 15V.
You have two choices, supply that voltage or rearrange the LEDs to match what you do have.