Found Female Dog (Moses Lake)

Female Dog Found 2/27 in Peninsula area of Moses Lake.
No collar, no chip.
The shelter is at capacity.
We cannot keep this dog for long, as our living situation does not allow for more animals.
Our only legal recourse if she doesn't go home is to take her back to where we found her and leave her there.
If this is still up, we still have her.
About the dog: Judging from her teeth I would guess she is 3-5 years old.
I do not think she is spayed.
She is trained.
Sit, lay down, shake, maybe more.
She is kennel trained and potty trained.
She is good with other dogs.
She is not aggressive toward cats, but she chases them and tries to play too rough.
She is not food aggressive with humans or other dogs.