You will definitely be OK with the Channel Tunnel as you can ask to be placed in a ’high carriage’ for larger and wider vehicles which have no steep ramps or narrow edge strips that can damage your alloys.
Your car will be allocated a normal carriage based on data from your registration. If you phone and explain your situation they should be able to transfer you to a high carriage subject to availability. So should try and do this well in advance.
Incidentally I spoke to one of the Eurotunnel managers and he said that they were aware of the issue with damage to wheels and would be refurbishing the carriages to create an edge strip with a rounded profile. Not sure if has been done as last time I went on the shuttle was to Le Mans last year.
Never been on DFDS ferries so not sure how the ramps are on their ships, normally ships ramps can be entered at an oblique angle to minimise potential damage to front spoiler.
Underground car parks are another matter….. you have the lowered suspension on the GTS so may need to consider the possibility of grounding out on the ramps.