A direct trustee-to-trustee transfer does not count against the one-rollover-per-12-months rule. That's true whether the transfer is in-kind or you transfer cash. The one-rollover-per-12-months limitation only applies to rollovers where the money passes through your hands. You would get another 1099-R for the transfer or rollover.
@dmertz - The way I read the question, the conversion was done at the bank, not at Vanguard. The OP now wants to transfer from the Roth IRA at the bank to a Roth IRA at Vanguard. There is no distribution from Vanguard.
