Odie! Welcome my new friend. Glad to see that my advice worked and you were able to post! Excellent.
"My guys", the WWII bunch, have rosters from their units, and I can put you in contact with Captain John Fallon, so this will take you through 1945, when the unit completed their tour of duty in the ETO.
On April 29, 1947 the 2827th (originally the 2nd Bn of the 36th) Engineer Combat Battalion was re-designated as the 14th Engineer Combat Bn, and activated in March of 1950 in Kisarazu, Japan as part of the post-war occupation forces. Within 5 months the 14th was again in combat, this time landing in Pohong Dong, Korea.
It so happens that we are in contact with the current Colonel, Rick Stevens, so I will be able to put you in contact with him too.
I am not sure if you are aware, but a rather timely thing occured this month. I just had an article published in Army Corps Magazine on my dad's unit, the 540th Engineers, who were the "sister" regiment to the 36th. Also featured in the same month is the article, "WWII 36th Engineer Combat Regiment - Brothers-in-Arms - Reunited in Iraq". This article is in regards to the 14th and 19th Bns being reunited for the first time since WWII. The article gives some history and also discusses their current role today in Iraq. They are now under the 25th Infantry Division, as a part of Task Force Lightning.
Michael Brodhead, friend and editor of the magazine, and Captain John Fallon of the 36th, put me in touch with the Colonel Stevens, so I will give you his email address. He might be able to fill in some post WWII history. Also I will write to Michael today to see if he can put me in touch with Captains Jason Toth and Kevin Loberg (re the two officers who wrote the article in this month's magazine).
Captain Loberg also wrote another article for said magazine this month called, "The Rugged 14th Engineers Blaze Trails". I was delighted to have my article flanked by the history of the 14th past and present.
Once again welcome. I hope I can fill in all the missing links for you. 
Essayons!
Proud Daughter of Walter (Monday) Poniedzialek
540th Engineer Combat Regiment, 2833rd Bn, H&S Co, 4th Platoon
There's "No Bridge Too Far"