This is great, Kelsie! What is the age range of your group? How many of them are there?
Have you tried some simple rounds? It sounds like your group wouldn't mind starting with "Row, row row, etc." but there are so many wonderful rounds out there.
Try: Hey, ho nobody home
Music alone shall live
Rounds Galore (click here) is a great resource.

Songs with a chorus, where you or a more confident singer carry the verses and everyone joins in on the chorus:
The Garden Song (inch by inch)
All God's Critters got a place in the choir
Rise Up Singing is a good resource for your group, too.
Another great book is "Sing and Shine On" available from the wonderful song leader Nick Page.

Good luck, and keep us posted! I'll post some more songs when I wake up!