Amplifier heat...help!

Hi all, 

Working on a system for a small 9 by 11 listening room.   I have narrowed it down to two small speakers: Falcon Acoustics Ls3/5a (15 ohm, 83 db) or the Airtight AL-05, also called Bonsai II (4 ohm 89 fb).

Tha amplifier will go in a cabinet.  I have about 14 inches between shelves and I always play music with the doors open.  I would love to use a tube amplifier but worry about heat.  So I am wondering if readers think something like a Line Magnetic 211ia could work in this configuration, or if it produces too much heat?   I have also been thinking about the tube -like  solid state Sugden A21Se, but have a similar question about its temperature.   Another cool (literally cool) option would be the Vinnie Rossi LIO, an amp I love but that is conisiderably more money.

Are there other options for relatively  compact tube amps (i.e.: . I have 17 inches of depth inside this cabinet including power cords so unit cannot be more than 14 inches deep) that do not produce a lot of heat (relatively speaking?).  Or is there really no tube amp that would work well in this scenario?

thanks!