The following combination of ricc2 and excitation input sections will give you the ADC(2) relaxed dipole moment of the S1 (a 1) state of an isolated molecule:
$ricc2
adc(2)
geoopt model=adc(2) state=(a 1)
$excitations
irrep=a multiplicity=1 nexc=3 npre=4 nstart=4
exgrad states=(a 1)
Regarding the calculation of excited-state dipole moments in solution, I don't know if this is technically possible, but I would definitely recommend caution when attempting to compare calculated dipole moments with experimentally-determined values. Measuring the excited-state dipole moment of a molecule in solution is notoriously difficult. See e.g. Yoshihara et al., Photochem. Photobiol. Sci., 2003, 2, 342–353.