Didn't really think this was reasonable initially, but with enough luck infighting takes care of most monsters in my way. Managed to make it out of the start section with good health and lots of space to move around since a large number of monsters managed to die luckily (including all the archviles), so I took it slow from that point onward. Note, this run is no longer the fastest, as it was beaten by KillerDog745 using an infight strategy I didn't think was possible (that's on YouTube here: https://www.youtube.com/watch?v=_ycaLnQl9pA). However, I thought the bruteforce strategy used in this run was interesting enough to watch to post it anyway.
Captured using PrBoom+ 220.127.116.11