I had downloaded another hotkey save mod. I didn't care for the implementation, but the source scripts were not included so I could not tweak them.
So I decided to write my own mod and release it for others to use or modify.

This is similar to quicksave in that it doesn't require you to open the menu and choose a save slot. But, using the vanilla F5 overwrites quicksave.ess each time you use it.

Each time you use this hotkey mod, you get a uniquely named save in a new slot.
The save name includes the player name and the total game time played.

v2.0 Example:
Fast Save 22 - Aellis - Game Time 34 days, 16 hours, 56 min.ess

v3.0 Example:
Aellis FS# 799, Game time = 4 months, 24 days, 21 hours, 26 minutes.ess

v4.0 Examples:
Aellis - 1 year, 10 months, 5 days, 8 hours, 0 minutes.ess
Aellis - 10 months, 5 days, 8 hours, 0 minutes.ess
Aellis - 5 days, 8 hours, 0 minutes.ess


If your character has been in Skyrim for more than a year, that info is added as well.
(365 days = year, 30 days = month)

The Hotkey is configurable in MCM.

v2 Update: Since save games using this hotkey mod do not actually get overwritten with v1, the option to set maximum saves has been removed as it is superfluous.

Source Scripts are included in download for use with the CK if you wish to "tweak" them.

Requirements:
Skyrim 1.9.32.0.8+
SKSE 1.6.16+
SkyUI 4.0+

Incompatibilities
===============
None.
Nothing is added or changed to Vanilla Skyrim.
This mod only does scripted saves by hotkey.

Credits
=======
Thanks to Bethesda for Skyrim and the Creation Kit.
Thanks to the author of Rotating Quicksaves http://www.nexusmods.com/skyrim/mods/43153/? for not including his source scripts for me to tweak.
Thanks to nexusnetwork for the free hosting of thousands upon thousands of mods.
(Show your appreciation by becoming a Premium member.)

Tools Used
==========
TES Creation Kit
Notepad++