most econ courses (though not all) that dont require maths are BA courses rather than Bsc, meaning they are less math oriented
from the top of my head, leeds, birmingham (provided you get A*AA rather than the standard AAA), sheffield, leicester, royal holloway, lancaster, manchester, soas and reading are unis that offer economics degrees that dont require maths (there are probs more but idk) , most of which are BA Courses (such as Manchester,- their BSc econ course requires A-level maths, sheffield etc), but some being BSc without a requirement for Maths, such as Leeds (need a Grade 7 in GCSE tho) and Birmingham
As for how maths-oriented the course will be, if its a BA there will be a minimal amount of maths involved, but if its a BSc there will be probs more (check the course structure/modules you'd be required to check on the website)
you may also consider doing a joint honours (e.g econ and pol, econ and his etc) that will probs require less maths aswell, and it may be easier to get into (e.g at the uni of birmingham, if u do econ and pol the standard requirement is still AAA, but u just need a grade 7 in maths at gcse)