Cooling options for tiny server room

[EMMST]

I'm building a little outbuilding for my personal office and I'm planning on a very small server room, really more of a closet with a couple VSL servers, Plex server, and a NAS. Maybe 4 servers max and a handful of network switches, LTE amps, and other little tech doodads. The main area (20'x16') will be cooled by a 12,000 BTU mini-split, so no central air to pull from. The machine room will be something like 4'x4'x8'. This is in the southern US and ambient temps can get pretty brutal. 

 

Any ideas on a cost effective option to cool such a small space? The quieter the better. 

[Electronics Wizardy]

fan and vent in the door? Exaust to the outside? Anouther airconditioner?

[Slayerking92]

APC makes an "in wall" fan system to help circulate the air for a wiring closet/server room.

 

https://www.apc.com/shop/us/en/categories/cooling/containment-and-air-distribution/room-air-distribution/N-o87m4f

 

 

[straight_stewie]

Am I correct and understanding that the machine room is connected to a room that is conditioned, so that it's similar to a closest?

If so, ACInfinity makes some useful products: Door fans/vents and rack mount fans/vents.

https://www.acinfinity.com/closet-room-fan-systems/

 

[EMMST]

Yes, those in door/in wall fans are exactly what I was looking for! Thanks.