Probably easier is to use the -S switch, which lets you specify the source IP address (see ping /? for more infos).
Another thing you can do is change the binding order, which meets your "option to prefer one adapter over the other". Although it varies from Windows OS to OS, it is in a similar location as this example: For Windows 7 you right click on Network, and click properties. Then you click on ""Change adapter settings". Then click on the menu Advanced>Advanced Settings and move the connection you want to have priority to the top.
From Windows 7 (Version 6.1 Build 7601: Service Pack 1)
Usage: ping [-t] [-a] [-n count] [-l size] [-f] [-i TTL] [-v TOS]
[-r count] [-s count] [[-j host-list] | [-k host-list]]
[-w timeout] [-R] [-S srcaddr] [-4] [-6] target_name
-t Ping the specified host until stopped.
To see statistics and continue - type Control-Break;
To stop - type Control-C.
-a Resolve addresses to hostnames.
-n count Number of echo requests to send.
-l size Send buffer size.
-f Set Don't Fragment flag in packet (IPv4-only).
-i TTL Time To Live.
-v TOS Type Of Service (IPv4-only. This setting has been deprecated
and has no effect on the type of service field in the IP Header).
-r count Record route for count hops (IPv4-only).
-s count Timestamp for count hops (IPv4-only).
-j host-list Loose source route along host-list (IPv4-only).
-k host-list Strict source route along host-list (IPv4-only).
-w timeout Timeout in milliseconds to wait for each reply.
-R Use routing header to test reverse route also (IPv6-only).
-S srcaddr Source address to use.
-4 Force using IPv4.
-6 Force using IPv6.
Microsoft TechNet Ping Documentation which states it can only be used for IPV6 (not correct)
Applies to: Windows Server 2003, Windows Vista, Windows XP, Windows Server 2008, Windows 7, Windows Server 2003 R2, Windows Server 2008 R2, Windows Server 2000, Windows Server 2012, Windows 8
Microsoft TechNet - Using the Ping Command (Windows 7 and Server 2008 R2) (also missing -S srcaddr)