There are 4 G's, and 3 H's.

-i-e i- -i-e a dog --ed -ea-. I- -ou ai-'- -he -ead dog,
-he --e-e-- -e-e- -ha-ge-. -- -e-i- G-i--a-d

Letters available:
B C F J K L M N P Q R S T V W X Y Z

Score:
Karen E(13) = 26
-*BaSim*- A(6) + I(7) + H(3) = 29
**Rottieluver** O(3) + U(1) = 8
Daisy's Mom D(5) = 5
ShepherdLover G(4) = 4