BCC blocks are not full, so it's very likely that your tx gets in the first mined block, even with low fee.
I wouldn't bet it's "very likely"
never heard of empty blocks mining

?
empty blocks are another thing altogether.
if a miner wants to get the fees, he will include all the txes that can fit into the block.
he will be forced to choose if there is not enough space in the block, otherwise there is no sense in excluding a tx, regardless of the fee (unless it's lower than minimum accepted).