It's just my personal suggestion, but i rather be against a monster with a alien isolation's AI xenomorph, that's what made the game so good rather than having chases scene, or maybe half chases and half moving freely with the monster searching for you, poppy playtime chapter 5 did it for a small part of the chapter and didn't even tried to make it a gameplay feature, I bet you guys can do it. (and why not make puzzles interesting and a lot more fun while having a monster around again like on Alien Isolation, take inspiration from what's working in other games is what other games should do, everyone say that !)
Having chases is cool, but trust me as a huge horror game player, having a monster looking for you in an area and you trying not to be seen is a lot more stressing and terrifying, and you guys already have a monster with an original personality and design, I bet you could make some cool sounds designs and very disturbing animations for it (I have some ideas if you're interested). YOU HAVE TO GIVE IT A TRY !