You are getting confused:
“…crown have already said they will not adjourn the case if i don't turn up.”
It is not within the Crown’s gift to adjourn (which means to postpone to another day) or refuse to adjourn a case. That is a matter for the Magistrates.
What the Crown has probably indicated is that they will not discontinue the case if you fail to turn up. You cannot be arrested for failing to turn up on the initial trial day as you have only been "asked" to attend. What will happen is that the Crown may ask the Magistrates to adjourn the matter to a later date and issue a Witness Summons against you. I have given answers to similar questions a number of times. The most recent is here:
http://www.theanswerbank.co.uk/Law/Criminal/Question1302374.html
The decision to continue or otherwise is not yours - it rests with the CPS. And the matter will be considered “domestic” by the court even though it does not involve a partner. The latest definition is:
“Any incident or pattern of incidents of controlling, coercive or threatening behaviour, violence or abuse between those aged 16 or over who are or have been intimate partners or family members regardless of gender or sexuality.”