Truckrelented what a load of rot.
Paul is there any way you can speak to your employer and change things around so you don't need childcare on the wednesday and can collect the dc yourself? That may be the simplist way of avoiding the issue of childcare costs all together.
I'm guessing you are a teacher from your saying you pay into a teacher's pension, so I realise it may not be that easy, but you could ask for a variation to your hours so you can leave a bit earlier on a wednesday. Worth asking.
Otherwise what are your alternatives? Do you have friends or family nearby who could collect them for you until you get there?
What childcare is your ex insisting on suggesting for the wednesday? Is it an after school club? childminder etc? It may well be that she has to pay it whether the dc go that day or not. ie if you can make alternative arrangements it may be that the cost is still there and she may still expect you to pay it.
You could argue that, as there is no variation for the overnights you have the dc, you don't feel the child care is your responsibility as she doesn't recognise that you have the dc. But as you say she may simply stop the contact on a Wednesday - and that has the added bonus (for her) of reducing your overnights and thus making your appeal void. So she does kind of have you over a barrel. At the end of the day I'm sure you'd rather have the overnight and pay the childcare rather than lose the overnight, not pay the childcare but then also loose the variation on maintenance.
Do you have a diary of the contact you have had? If not start one. If you do make sure it is specific. List dates, times, locations collected from and dropped back too (ie collected from school or mum at her house, dropped back to school/mum). Keep everything clear and precise so you can use it if you need too re the CSA.
Can you apply for a variation while the appeal is going ahead? If you can show you've had 52 overnights already then you can ask for a variation on that basis.
What are you hoping to achieve by going back to court? Do you feel you need to get it in writing to help your CSA case? Are you hoping that greater contact will be awarded? Or that the court may see through things and change it so you are the RP? I'm afraid the last option is highly unlikely.
You can represent yourself in court if you can't afford, or don't want to fork out for, a solicitor. Check out Families need fathers for help on that. You can also have a Mckenzie's friend to assist you on court (although they are not allowed to speak, they can offer you support, take notes etc). So court is always an option even if you don't get legal aid or have money for a solicitor.