Who can register deed of variation?

[flicknife]

I have had a draft deed of variation drawn up by solicitors after our neighbours built an extension over a right of way we have over their property. Obviously we feel it should be up to our neighbours to meet all costs for getting this properly documented and registered at Land Registry. Unfortunately for us after many months of letters between solicitors they are refusing to pay and we have little option but to pay the fees and take them to small claims court further down the line and hope we get something back.
So my question is this......
As a cost cutting measure, am I entitled to use the draft copy I have in my possession, attempt to get it signed by all parties (ourselves, neighbours and both mortgage companies) and then submit it to Land Registry myself? My thinking is that I can then tell our solicitors that we are going to drop the matter and hope they take pity and don't come back with a huge bill. This may seem unorthodox but I just want to assess my options before we make the step.

[buildersmate]

I don't think it works like that.
You have engaged your solicitors so have a contract - you would need to establish from them the extent to which they have completed the total hours work package and they have a right to be paid for that work anyway.
You may not be saving yourself much money - the cost of drawing up the deed is probably the largest part of the total cost - but I suppose as a first step you could ask how much in fees they have committed to date.
It is certainly feasible to deal with the LR registration yourself.