I just went through replacing my thermostat, all my plugs, and the module @ 142,000 miles. Fortunately I didn't have a problem afterwards.

Can you communicate with the module via software? It's a long shot, but the connections are a bear to get to if you left the coolant pipe in place and at least one member had a problem with a loose connection on the module causing a recurring code after replacement of the module. You've done it twice now... so not a very high likely-hood the 2 connections are a problem, but thought I'd mention it.

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2005 X5 4.4i Build 04/05 Maintenance/Build Log
Nav, Pano, Sport (Purchased 06/14 w/ 109,000 miles) (Sold 8/15 w/121,000 miles)

2006 X5 4.8is Build 11/05 Maintenance/Build Log
Nav, DSP, Pano, Running Boards, OEM Tow Hitch, Cold Weather Pckg (Purchased 08/15 w/ 90,500 miles)

2010 X5 35d Build 02/10
Nav, HiFi, 6 DVD, Sports Pckg, Cold Weather Pckg, HUD, CAS, Running Boards, Leather Dash, PDC, Pano (Purchased 03/17 w/ 136,120 miles)