NonQ Annuity - Avoiding Taxation

Anyone have any clue if you are able to donate a NonQ annuity (with baked in gain) to a CRT (CRAT or CRUT) and then liquidate to diversify proceeds? Would this be possible or could it trigger recognized income to the holder taxed at ordinary income? Anyone have any experience on things like this or may provide a link to a reference? Thanks in advance tax nerds.