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I tried that, but as I said in the OP, if I move the CoL any closer, the whole thing flips out for no reason at all during reentry (even though the CoL is still behind the CoM)
I'll definitely try out different wing configurations, but I'd also like to know why it's flipping when the CoM is ahead of the CoL
All fuel is drained out in the picture. What you see there is exactly the state it is in during reentry.
EDIT: Whoops, realized that the link in the OP was wrong. Fixed it
Otherwise RCS or reaction wheels can be used for stability during reentry, but RCS means extra mass for the fuel, and reaction wheels are a bit cheaty.
Also flatten the wings, Big-S wings are dehidral in shape and dont need high angles. You should only need a maximum of 5 degrees up-lift at most with those. Also with the tail fin, click the move tool and turn off angle snap, then pull the tail fin down in to the fuel tank until the "wedge" end of the rudder is at the hull.
When you place every control surface on, the CoM and CoL should be near identical positioning. Then just slide your main wing rearward using the move tool until your CoL is stradelling the back of the CoM ( it should look like an number 8 shape). From there you can set your trim angle (to keep the nose level) with either your flaperon/spoileron or with a high tail T section.
And lastly, add some flaps. All aircraft use flaps to control lift levels under different flight regimes. Any aircrat you make should have FOUR sets of control surfraces.
1.) Pitch
2.) Roll
3.) Yaw
4.) Flaperon/spoileron
the advanced or standard canards are fine -- it doesn't need to be big, but plane basics demand 2 sets of aero-controls, 1 in front and 1 in back. it creates some kind of lever effect, iirc.. I'm surprised you can take off without 2 sets?