As someone (24 now) who was faced with a similar prospect as yourself four years ago, I went the apprenticeship route - note that this isn't within the IT industry (which I actually left) but instead with oil & gas / energy. The industries share similarities in that you can get universally accepted degrees (in your case, Comp Science, in mine, generic Engineering) that will you into the industry as well as funded training schemes (your degree apprenticeship, my modern apprenticeship).
I want(ed) to get into the energy industry because I feel it isn't something that is ever going to be over-subscribed for work force (despite the current oil price situation). I left IT at an NHS Trust (started as a contractor and then became 2nd line support) because although I always imagined I wanted to work in IT, once I was in the industry I wasn't keen on it.
To give my very broad opinion of your situation, you don't seem sure what you want to do. I don't mean your current choice, I mean in the future: you don't have a chosen career path that you 100% want to follow. That's nothing to be held against you, tens if not hundreds of thousands of people feel the same way. And where do they end up? University.
I'm not painting every uni student with the same brush, but the *vast* majority of those I grew up with and knew throughout school and sixth form either moved onto really poor jobs because they were terrible in learning environments, moved into employment training for a career they were keen in (most of these being apprenticeships or college courses), went to university because the career they want to work in requires certain degrees just for consideration, and everyone else that bummed it along to uni because it "was the done thing" that was droned into them by the school staff and "advisers" and they had no idea what they wanted to do with their lives.
My question to you is do you know where you want to be in five years time? How about ten years? Is there a specific route or place in industry that you want to be involved in? Is there a specific company you're interested in? You've mentioned "the big four" numerous times, but I don't recall seeing anywhere that you actually want to work for them, you're just interested in them. Don't take this as me saying you need to have a solid, 100% concrete path you want to take, because that is not what I mean and life doesn't work that way (as I've found out several times).
Back to my original point in the similarities in our industry - a degree in this industry will give you a step in. You may be very good, or very lucky, and land a good grad scheme and do well for yourself from the off from graduation. Unless you absolutely shine through as the next best thing, this will put you up against many thousands of other people in the exact same place with the exact same frame of mind. An apprenticeship for my industry is an investment of time. Sure, in my case you don't end up with a degree (but instead gain S/NVQs 2 and 3, NCs and HNCs and as many industry certificates as you can name) but you are much more employable from the off as you train for the industry as opposed to training for what is perceived to be the industry - two very different things. You'll start off on less money, but you will progress quicker than any person that started at the degree stage. As others have said, experience is key.
If you asked me directly for what I would do, it would be the apprenticeship without a second thought. Obviously what you value will be different to me and any other person that posts in this thread, and you have some big questions to ask yourself to come to the decision that is right for you. The posts suggesting that post-apprenticeship masters courses are really good pieces of advice if you feel that the D&T degree doesn't net you the academic success you need to move from company to company or into another industry.
I just feel that if you go to uni unsure of where you ultimately want to end up, you'll be paying a very large sum of money to have the luxury of putting off growing up for three to four years and end up with a degree that, frankly, thousands of other people will have at the same time. Conversely, the apprenticeship will result in you having an industry-relevant degree (if it wasn't relevant, it wouldn't be offered), no academic-related debt, a very high likelihood of employment either at the training company or elsewhere, and in a very good financial position at a very young age - this is not something to be sniffed at and deserves some very serious consideration.