“The chosen venue does not have to be licensed for marriages and so it doesn't have to cost a fortune.”
Without costing the earth you can have a Baby Naming Ceremony.
It is a wonderful way of introducing your child into the family and acknowledging role models that will be guiding them through their life.
If you do not require a traditional Christening in a Church, but would like to give your child a celebration of its name, then I can help by organising a Baby Naming Ceremony.