Looks like 193 miles...go as fast as you want!
There are probably better threads for road trip driving recommendations, but in general, here is what I do. When you are at the Mt. Vernon Supercharger, put the Louisville Supercharger as your destination. Charge until the arrival SOC is a comfortable amount for you. 10% is probably sufficient, but if it's your first road trip and you want extra buffer, go for 15% or 20%. I've found this estimate to already be quite accurate, but just to be sure, while en route to Louisville, bring up the energy screen and go to the Trip Mode display. This is what it will look like, except in your case the starting SOC, ending SOC, and miles will be much different (why are there no good pictures of this display on the web? I'll have to take one that is more illustrative):
View attachment 554801
The way this works is that the dot on the left side of the display is your starting SOC. The white dot with the 62% is your current SOC and shows where in your trip you are on the X-axis. The right side of the graph shows the end of your trip, including an estimated ending SOC. This is what you want to be above 10% (or whatever safety margin you want).
The gray line shows the estimate the car currently calculated when you started. Notice it's not just a straight line--this is because the car is taking terrain (elevation changes) into account. The GREEN line indicates the ACTUAL SOC history (in the case of everything to the left of your current marker) or the revised estimate (to the right of your current marker). If you are driving exactly as the car predicted, the two lines will overlay each other. If the green line is ABOVE the gray line, you are driving more efficiently than the car estimated, and you will likely arrive with a higher SOC than the car predicted. If the green line is BELOW the gray line, you are driving less efficiently and you will likely arrive with a lower SOC than the car predicted (note that the line turns yellow, and then red below certain SOC--don't be alarmed, this is normal).
This gives you excellent feedback while en route as to whether you will "make it" or not. If you notice that your actual line is significantly below the gray line, you might want to back off a bit and pay more attention to how you are driving. But don't be too concerned if the end SOC is more than 2-3% off. This is okay, and part of the reason you aim for a 10% safety margin and not 3%! When I'm on a trip I am usually above the line, but I have seen my arrival SOC dip down to 8% (from an initial 10%) on occasion. No big deal.
Good luck! Road trips in the Tesla are a lot of fun. Get that first one under your belt and you'll feel entirely comfortable with it.
