A couple of random tips -

Now that you have the cooling system hoses off, its pretty easy to remove the top plastic trim and lift the radiator out. The transmission cooler is held in with some clips, you can separate that from the back of the radiator without leaking tranny fluid (it would leak coolant, but you have drained that). Gives you tons more room.

I noticed you hadn't put any marks on the black/blue black/white vacuum tubing. I didn't either than struggled to get them put back correctly (I removed the full intake, also). If that is the original vacuum tubing, its a good time to replace it... The plastic vacuum accumulator (looks like a like cylinder) and the the black/white vacuum check valve should be marked with a direction to save this confusion.

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David.X5
2001 X5 4.4i Sport
SOLD! at 160k miles