No point in doing ATPLs before degree since the exams have a three year shelf-life so they'll expire just as your finishing university. Besides, you'll have forgotten everything you've learnt by the time it comes to actually needing any of it.
ATPLs whilst at university is unrealistic unless: you're doing a course in basket-weaving; or you've a brain the size of a planet. ATPLs are not difficult but the volume is great enough to tax anyone. I guarantee that this route will lead to failure in degree, ATPLs or both.
Going straight to ATPLs, CPL/IR etc is fine if you're loaded or your parents will support you but it will cost £40 000 and you're not guaranteed a job at the end.
Best option really, if you've got the ability, is go to university, study something which will get you a job. Leave university, start work. You now quals to fall back on if aviation job market is depressed, you're not as good as you thought you were or you lose your med cat.
I most definitely would not try and do ATPLs and degree at the same time.