As you say that funding your license is not an issue, I'd say get that CPL/IR straight away and use IT as your fall back career or for something to pay the bills while sending off the CVs to the airlines. After all you should only be out of circulation just over a year. If you need to get an IT job you can tell them you were backpacking.
As for the Modular vs. Integrated argument, if cost really is no object at all then integrated makes sense. Coming straight from Uni, 15 months of full-time structured training with accommodation paid for etc. may be just right for you.
However in this day and age the old self-improver(modular)/CAP509(integrated) prejudice is supposedly starting to break down in the airlines, so it may be worth asking yourself whether it is really worth spending the extra dosh on the big name integrated school. Oxford seems to be the place to be, if money is no object.
Personally I went modular with a smaller school, I could have gone integrated, but felt that as I already had a PPL it would be a waste of money to revisit that.
All in all, don't worry about the fracas on that other thread: you seem to be thinking it through properly which is the main thing. I can't comment from an airline perspective, this is based on my observations as an underemployed job CPL/IR.
Best of luck,
foggy.