Have you seen this:
I would guess that your difficulty is that the center of rotation for the planets is fixed if you want to drive the handle directly.
So your turns ratio should be S / ( R + S) where S is the number of teeth on the sun and R is the number of teeth on the ring gear. The number of teeth on the ring gear is 2xP + S so if you want it in terms of planet teeth that would be R = 2P +S so the turns ratio is S / (2P + 2S).
The radius of your crank needs to be equal to the reference radius of your sun gear + reference radius of your planet gear. So we can say that Rsun + Rplanet = Rcrank.
The diameter of each gear is the number of teeth multiplied by the modulus, so the number of teeth on each gear is the diameter divided by the modulus. S = 2Rsun/m while the number of teeth on the planet gear is 2Rplanet/m.
Subbing that all in above gets:
2Rsun/m / (22Rplanet/m+22Rsun/m), which simplifies out to Rsun / (2Rsun + 2Rplanet). We know Rsun+Rplanet = Rcrank so that works out to the gear ratio being Rsun/2Rcrank.
So if we test that with Rcrank = 100mm, Rsun = 50mm, that would give us Rplanet = 50mm and they’d both have the same number of teeth. That would give us a ratio 1/(2+2) or 4:1, so 4 revs of the sun to 1 rev of the planet carrier, which is what it should be according to a calculator. Likewise, Rsun = 25mm gives us Rplanet = 75mm and a turns ratio of 1/(21+23) or 8:1, which also works out according to the calculator.
So you should be able to get any gear ratio you want pretty easily by varying Rsun and then defining a gear modulus to match, or by selecting Rsun such that both Rsun and Rcrank-Rsun result in integer numbers of teeth for the modulus you’re using (2Rsun/m = integer, 2(Rcrank-Rsun)/m = integer).
Working the other way, if you wanted a 10:1 ratio, you know Rsun/2Rcrank = 0.1… So if that’s a 100mm radius crank, that’s a 20mm radius sun. If you’re using module 5 gears then that’d be 2Rsun/m teeth or 8 teeth. Rplanet = Rcrank-Rsun so 80mm or 32 teeth. Rring would be 2*Rplanet+Rsun = 180mm so Nring = 72 teeth. Throwing that in to the calculator, that’s 10:1.
I started writing this before your edit with the online gear calculator, which is probably a better way to approach this, lol.