Checks are always issued under the name stated in the account, and strictly to the address stated in your order details. It is, however, absolutely possible to have the check be sent to a different person than yourself.
To ensure the check is sent to a different recipient, verify the following settings prior to creating a buyback order to avoid narrow timeframes.
1. Change your account name
For the check to be successfully cashed out, the name on the check must match a legally issued ID. Thus, nicknames, outdated first/last name may influence the recipient's ability to validate the check.
Edit the account name
The edited name cannot be changed until the order has been marked as "Paid". Otherwise, the check will be issued to the last stated name on file.

2. Change your account address
The address in your account details is the address that will be used to ship the check. Make sure the address stated corresponds to the address of the intended recipient, and not your own.
In Case The Order Has Already Been Placed
If you have already placed a buyback order and would like to change the information regarding check shipment, please verify your order status first. You may change the account information as long as your order status says "Awaiting shipment", "In transit", "Received", "Under review", "Awaiting reply".

Once the order status states "Pending payment" or "Paid", the payment information can no longer be changed.
Related Questions:
Can you send my check to someone else? ; Can someone else validate my check?