[Elecraft] CW power output and remote tuners

[Mini Builder]

Background:
I got into ham radio back in the 1970s, getting my
license at age 12, then life moved on and my license expired. Recently, going
through my dad’s stuff after he passed away, I found his license, which brought
back many fond memories, so I decided to get back into it.
 
Now:
I just passed the Technician and General test (no call sign
yet) and have been looking at the state of the art - HOLY SMOKES have things
changed! Anyhow, after a lot of research, I’ve decided to get a K3, but before
that, I need an antenna. The K3 (with amp) outputs 100W. I’m pretty sure
that I’m going with an inverted-L antenna, which requires a remote antenna
tuner at its base. One promising remote tuner
is the SG-230, but it can only handle “80
watts continuous.” My question: In CW mode, how much power does the K3
output? (assuming worst-case key down 100%).
 
If the answer is “100W”, what remote tuner are you guys
using with inverted-Lsand your K3s? Yes, I know that the K3 can have a built-in tuner, but I
don’t think it can work with an
inverted-L.
 
Kurt – currently call-sign-less, but who was once WB6DSW.

(I understand about keeping posts short, but this is my intro post. Follow-ons will be shorter :)