As a beginner I’m going for the Gottan and doing some research on it. Seeing as it’s plucked with the fingers is there a proper method? I can’t seem to find much on the subject using the terms I did online. I happen to be familiar with fingerstyle playing on a guitar so I’m thinking if the there’s a technique specific to the Gottan. I can only seem to find one video of a person demonstrating how to pluck but it’s all done with full strums.
Hi Irideus! Welcome to Bachido! 
Let’s see if we can get Gerry McGoldrick here, he would have the most knowledgeable answer for your question.
HEY GERRY!!
Hey, not so loud, Kyle!
I haven’t seen the gottan played live, but would guess it is played tsumabiki-style, where the nail of the index finger is used like the edge of the bachi. You move your hand almost like you are using a bachi: with your hand bent at close to 90 degrees, you execute the downstroke by rotating at the wrist, letting the weight of your hand do the work. As with a bachi, you hit the string from above, and follow through until you touch the sound board (unlike guitar, where you move the pick ACROSS the strings). So perpendicular, not parallel to the body of the instrument.
That’s pretty much what the man in this video (maybe the one you were talking about?) is doing:
This guy is playing with a pick, and playing it pretty much like a guitar. Nothing wrong with that, but if you want it to sound like a traditional gottan, you should use the traditional method of attack.
Here’s a nice audio recording of someone playing it like a pro.
This is Aratake Tami playing “shima uta” (island song), "yobai (night crawling?) kudoki, and “komori uta” (lullaby).
I think I get the gist of how it’s supposed to go with your reply so it helps a lot along with the guy in the first video. Decided on using my actual name when posting here now just to be clear I’m still the original poster.
Oops, sorry Gerry! I typed that a little too hard.
Wow, I hear what sounds like some tsugaru phrases in the piece at 2:30 (on the last video)! 
Good choice on using your name, Felipe! Nothing wrong with a pseudonime, but there’s no need for one as we’re all friends here.