Drawing the template
Here is a quickly thought up sequence for drawing a template on your roadbed for curvable turnouts that is geometrically approximate, but probably still good enough to make sure that you end up with a smooth, and good running, curved crossover.
You can choose your own desired any curve radius and frog angle, subject only to the limitation that the outer turnout will have a much sharper inside radius, that its outer curve, especially if you use smaller frog numbers. I have used 24 and 26 inch radii for this example, and #8 frog angle.
So lets see if this works for you.
.
1. First draw both curve radii, as center lines, but then add the rail lines as well
2 Draw a vertical line where you want the center of the crossover, and an exactly "true" horizontal mid way line across it.
3. Now we get cunning. Through the intersection of the center lines draw a "tilted" Midway line at the exact frog angle of the turnouts you want to use for the crossover. You can probably concoct that by using one of the turnouts bases themselves, rather than measure it with a protractor.
4. This will need a little more care. A "tee" square is also a handy tool for this. Draw another line offset from the "vertical" center line, also by the frog angle. It should end up at exactly right angles (90 degrees) to the first tilted midway line. And it needs to be long enough to reach past the center of the curves (OR, if not possible - see later comment "A")
5 Now this is getting exciting! Using a yardstick compass, draw a circular arc of the average of the inner and outer radii, through the center intersection, with it's center on the 90 degree offset midway line.
6 And now the template is almost finished. Offset the yardstick radius to draw the rail lines of the midway curve. Where they cross the rail lines of the inner and out tracks, is where the frog vee points of the two curvable bases should be placed.
All you need to do now is test fit the two bare bases in those positions, curved to fit the curved tracks, and then just fit a short piece of flex track between the turnouts to see and make sure if everything smoothly lines up. Rubber cement is a handy temporary fixative if you run out of hands at this point. If not quite perfect, you can move the turnout bases slightly, but only ALONG each curve to adjust them. Just don't move them off their respective inner and outer curves.
Note (A) If for any reason (e.g. no room. or the center is over the aisle), you can't use a compass to draw the midway curve on site, you may be able to make a separate paper template of the just the curve to use instead. You just need to draw a tangent to the curve on it as well, so you can line the tangent up accurately with the tilted line. A commercial curve radius template may also work here.
Note (B). If the turnouts do not fit on your ideal track plan where the template puts them, you would be wise to reconsider placing the curved turnout in that place at all, or moving something else instead . A squashed up curved crossover is likely not to work well enough anyway.
Note (C). The frog sections of the curvable bases should be left straight. Just best fit the turnouts to the curve with that section straight and don't worry about it. Both model and prototype "standard" frogs are always straight and trying to make curved ones isn't within the scope this method. And if your crossover will only fit with the frogs being curved, you are on your own!