You should read this page regarding pre-action protocol:
http://www.justice.gov.uk/civil/procrules_fin/contents/practice_directions/pd_pre-action_conduct.htm
The court will expect you to have tried to reach a settlement or agreement prior to commencing litigation. This may be an exchange of letters. You will also need to warn the other side in writing of your intention to take legal action. Once that's done and assuming you cannot reach an agreement with the other side, you need to decide which court you want to file your case in - which town and which type of court (unlikely to be the high court unless its £0000s at stake - the MoJ site has the limits each court can deal with, small claims, county etc.).
You will be asking the court to decide something, award you something or prevent the other side doing something, so you'll be asking for a court order (an instruction) or you will be seeking a consent order (an out of court settlement, but which could be enforced by the court if necessary).
However, the court will expect you to have tried every avenue possible to resolve the matter outside of court, including mediation and arbitration. It will be frowned upon if you completely dismiss the DRS process as that would seem like the most appropriate method of resolving a domain dispute.
The whole point of things like DRS is to keep things out of court and let the courts deal with stuff no-one else can resolve.
If you own the trademark, registered or not, and can prove it to a court, why are you fearful of the DRS process?