Radiation depends upon how the device is built; you've shown us nothing to comment on, as far as how much it will radiate.
That leaves general advice: build it on ground plane, and place the CW stack, in particular C12 (is that what it is? I can't tell, the labels are such a mess) near U2, R7 and C1.
More importantly though, the LTC3863 control loop is not compatible with a capacitive load inverter. Note that, when the transistor turns on, there is a direct, instantaneous path (through diodes and capacitors) to the output, capable of ~unlimited peak current flow.
You need very little average power, so it's probably not noticeable anyway (it'll always be in burst mode, except during startup which will be much slower than expected), but it's not good practice. The direct consequence of this is low efficiency.
Preferred method is a tapped inductor. Coilcraft for example have coupled inductors in modest ratios, like 1:3 and 1:10, in the LPR and other series.
Tim