I am very excited to hear you are doing communion weekly. I think churches who dont are really missing out...but thats a side note...anyway..
here are a few.
May the words of my mouth - Tim Hughes
Communion Song - ME. lol...its on the VIRB site
Center - Charlie Hall
Offering - Baloche
How deep the fathers love for us - Townened
We Fall Down - Tomlin
Enough - Tomlin
Above all- Baloche/Leblanc
Amazing Love - Billy Foote
Above all else - Vicky Beeching
The Wonder of the Cross - Beeching
In Christ alone -Getty
Everlasting God - Brenton Brown
Shine Jesus Shine - Kendrick (i do this song really slow way up on the neck with a cut capo in G...really revives this one)