Can you grow a blood orange tree in the same locale where Meyer lemon trees grow nicely- namely, Antioch, California?
Blood Orange Tree Growing Area
Certified GKH Gardening Expert
It appears that you are in gardening zone 9b, and blood oranges are able to grow in zones 9-10, so the temperatures shouldn't be a problem. Make sure you have well-drained soil so that the tree won't be harmed by excessive rain (although if your Meyer lemon is growing well, you probably do have good drainage).