If mediation has not worked but court feels disproportionate, there are private routes that keep control of timing and confidentiality.
Arbitration
You appoint an arbitrator who makes a binding award, which is then converted into a court order. It is fast, private, and you choose the decision maker.
Collaborative law
Each of you has a collaboratively trained solicitor and you negotiate in four way meetings, with a commitment not to go to court. If it fails, both solicitors must withdraw.
Private FDR
A privately paid judge gives an indication of likely outcome at a single meeting. Many cases settle immediately afterwards.
This article is general information about the law of England and Wales, not legal advice. For advice on your situation, speak to a solicitor.