Matt, if its any help to you, I had a bad sprain in early July. I tore two ligaments and I didn't run for about 7 weeks but started cycling after 4 which helped to keep my fitness and spirits up. My first runs were on road and then I ran in the fells using a good quality ankle brace (McDavid as recommended by my physio) which really helped my confidence because I knew it was unlikely to allow my ankle to go over again. I then graduated to an ankle support and did my first race since injuring it on 25th September followed by Langdale Horseshoe a couple weeks later. I still 'tweek' the ankle now and again which is painful but its holding up ok. Do lots of strength exercises and ones to improve your proprioception...there's lots online. I think that will help you recover quicker and also lessen the chance of reinjury. I know lots of people run regardless and may advise you to here but for me (and with my physio's advice), firstly it was too painful and secondly, I wanted to limit my chance of reinjury and thought time out to recover properly was time well spent. I still went back sooner than I was told to but I got impatient.
Hope that helps and hope you get better soon.