Help! (Plz) Homepage Fullscreen Slideshow. (JUST a Slideshow)

Hi

I want to setup a CMS Slideshow to display full screen on a local TV Monitor for a Public Library. (It is conencted via HDMI to a dedicated PC)

I need help finding a plugin or Theme that will run a full screen, auto playing, looping slideshow (and nothing else).

I will be feeding it straight images, no text titles or captions.

Features needed:
? Full screen, no menus, links, extra text etc.. (I can delete areas of a theme if I need to to dump a menu/text block etc..)

? Able to accept large images. (They need to fill the screen not just take up 1/8 of the screen)

? (Preferred but optional) Ability to set timing on a slide to slide basis.

? (Important) Ability to rearrange slideshow order without editing publishing times. (Most of the options so far sort slides by timestamp

? (Important) Nearly unlimited slides (Or at least 30)
(So many close solutions restrict me to 5 slides…)

I’ve tried the digital signage theme (By Nate Jones). It works. I’ve edited it to remove the widget area and made it even more minimal.
But slides are sorted by date/time and that is not convenient.

I’ve tried several plugins/and a few other themes but there is usually a problem getting to my above feature list.

Alternatively (please don’t hate me for saying so) I can move away from wordpress to something else.

However I need it to be editable via the web. LAN connection won’t work, even editing directly on the computer is not convenient. (Computer is in a server room without a monitor. TV is around 4 corners and 100ft away)

To top it off my webhost doesn’t provide MySQL databases (frustrating)
No option to switch either, its being hosted via a company that provides a wide range of services to and connects small libraries like ours in the area. (I got wordpress working by using a plugin that moves the database into SQLite)

Fun right?

The TV currently runs a “Powerpoint Show” but getting the file properly onto the TV so that it autoplays on startup is slightly complicated.
I need a really really simple solution for less tech savvy staff to use.
(Besides me, no one will even consider doing it right now, and that needs to change)

Oh and did I mention it needs to be as close to free as possible?
Our Library has a really tight budget. It’s been hard to even find funds for wages.

Any help or advice would really be appreciated!

I need to get this up and running within the 1st week of December 2015!