You will receive the deed to you, if not already, after recording at the county clerk's office. Despite the prevalence of electronic records, including deed records, you would have to pay for certified copies, if you didn't keep a real, hardcopy with original signatures.
This also brings up the law concerning notes and deeds of trust. Many homeowners have been foreclosed and evicted in the last 5 years. One of the few defenses that seems to have been successfully used is attorney's claiming that foreclosure cannot occur without actual original documents, not mere electronic copies. This may or may not influence you decision to maintain these documents in hardcopy form also.
Your survey is an originally (hopefully). That's worth money when you sell the property. It also is often too large to scan. Keep that safe, too.
The other documents are probably not important to keep in hardcopy, and only the HUD-1 is important in the short/medium term for filing your income taxes and possibly for filing a real estate tax protest, since these show expenses for the Feds and sales price for the assessor.
Going paperless is a very new wave...one that many important entities have not yet completely embraced. With this said, it probably would be wise to keep all of the original paperwork. You never know what the future will bring but it certainly helps to be prepared.