Hi, From your description"I am trying to rout" i assume you are using a router which is probably 10k rpm or more.
I cut acrylic on my router using an onsrud or micro 100 1 flute (The Onsrud is super- o flute) I have cut through 1/4" in one pass. at 30"/min 10K rpm. The Edge or bottom finish, if not a through cut are great.
What I would suggest is, increase the feedrate A LOT, use compressed air to blow the chips out. the problem with an endmill on acrylic is the chips don't come out fast enough and stick to the cutter or the work piece.
You need the chips to come off and carry the heat with them, not the chips to heat the cutter.
Hood's solution of flood cooling works if you have that option too, But my MDF table is not conducive to Flood!

hope that helps,
Cutmore