The thing with turning it off at night, is when you turn it back on the duty cycle is much much higher for a period of hours until it can get all food within back to sub40f, and overall uses more electricity than it would had it just kep the food sub 40 in the first place.
Now if one is driving in the morning that alternator can both power the newly powered up fridge and restore the battery bank to some degree this can make more sense.
But if relying only on Solar, the newly turned on fridge will be eating a significant percentage of the solar juice and make it harder for the solar to get the batteries to 14.8v for long enough and the batteries will just lose capacity faster and become progressively harder to recharge fully.
I think removing power to the fridge while the compressor is actually running is Cumulatively stressful to the compressor controller. but switching it off while the compressor is Not running should pose no issues.
If your T-105s are showing their age and their capacity is not enough to meet your needs anymore, that you have to turn off the fridge, well it could be time for new batteries, and or more solar, or less electrical consumption from other loads.
Do ensure the fridge's condenser fan and condenser are not caked with dust/lint. This will greatly increase electrical consumption and wear out the compressor faster. Aslo if it is a truck fridge, the provided fan is only 92MM while the condenser is larger. A 120MM fan would better extract heat from condenser, reducing compressor run times and reduce battery draw.
But I'd not turn the fridge off overnight. Overall, doing so does not save any energy, it likely uses 10 to 15% more over a full 24 hours, but it does obviously change the time at which the electricity is consumed.
I am not aware of any 12vDC timers but have never looked for them either.
Safe storage is below 40F too. Make sure turning it off overnight does not allow it to go much above this.
You can certainly put a 20 amp or higher rated switch on the power feed from fuse block/battery to fridge as listed here in the danfoss/secop compressor controller instructions:
http://files.danfoss.com/TechnicalInfo/Dila/06/bd35-50f_electronic_unit_ac-dc_04-2009_ei100g402.pdf
Could be time to try for a battery equalization to restore some lost capacity to the batteries, but it could be in vain too.