Editing Kerbal Space Program save files for KSO

The part most interesting for you is:

    lat = -0.0708559885838229
    lon = -97.2394889192516
    alt = 2917405.7211654

To have a stable geosynchronous orbit, you need to set latitude to 0, so you are over equator. To obtain longitude, simply launch another craft, and keep it in KSC. Read lon from it's save. Proper altitude can be read from Kerbin entry at wiki. Currently it's 2,868.75 km - you are a bit too high, so update accordingly.

Now to the orbit part, you want:

ECC = 0

for exactly round orbit. Also, to avoid confusing your game, you need to set average of periapsis and apoapsis to your new-current altitude. However, when we take into account Kerbin radius, it gets 3 468.75 km, due to Kerbin's ~600km radius:

SMA = 3468750

To be sure you are on equator, nullify inclination:

INC = 0

The tricky part is MNA - Mean anomaly at epoch. If your game will decide to use it instead of lat and long set above, you may find yourself not where you wanted. Experiment with changing it a bit in one way or another.

For easier experiments always edit quicksave. That way you will be able to load updated state with one key. And always backup your persistence file.

For a video tutorial watch this Youtube video. As usual, Scott Manley is your friend.