Universities tend not to care about Computer Science at A level, but the "better" ones often care about Maths. These are the top few hits for Computer Science degrees on Google.
• University of Manchester - "A*A*A* with an
A* in Mathematics, and minimum of one Science subject in the remaining A-Levels at A*." (
source)
• University of Cambridge - "A*A*A" / "To apply to any of our Colleges for Computer Science,
you will need A levels/IB Higher Levels (or the equivalent)
in: •
Mathematics • Further Mathematics to AS or A level if your school offers it."
• University of Bath - "A*A*A in three A levels including
A in Mathematics." (
source)
• Queen Mary University of London - "Grades AAA at A-Level.
This must include one of A-Level Mathematics, Computer Science, or Physics." (
source)
• Kings College London - "A*A*A" / "
Must include grade A in Mathematics or Further Mathematics." (
source)
• University of Edinburgh - "A Levels: A*A*A* - AAB in one set of exams." / "A Levels:
Mathematics at A." (
source)
• University of St Andrews - "AAA,
including A in Mathematics and a pass in one of the following: Biology, Chemistry, Computing Science, Further Mathematics, Geology, Geography, Physics, Psychology." (
source)
That's not to say that all university require Maths - they don't. For example:
• University of Salford - "112-120 UCAS points, to include at least grade C in A-level
Computer Science or Computer Studies" (
source)
• University of Liverpool - "AAA including
Maths or Computer Science" (
source)
• Cardiff University - "A level ABB-BBB" / "
GCSE Maths grade B/6 or equivalent qualification (subject and grade). If you are taking A-level Maths (or equivalent), GCSE Maths is not required. Core Maths may also be accepted in place of GCSE Maths." (
source)
• Aston University - "BBB (standard offer)" / "
GCSE Maths Grade C/4 and English Grade C/4 and above." (
source)
So, not having A level Maths will limit your options. Not having A level Maths
or Computer Science will limit your options further. But it won't reduce the number of potential universities to zero. (If
not suggesting you take Maths, by the way. If you won't get a good grade in it, that would be pointless.)
Given that taking four A levels is normally a very bad idea, from the options you have outlined, I'd have to recommend the first option - 3 subjects (Chemistry, History, Drama) plus an EPQ.
Do take a look around now though (as I have started to do above) to ensure you're happy with the unis which would accept this subject combination.