Here's another mini that uses solar heating for a ammonia chiller. Remember propane powered refrigerators? This could be significantly more effective, as its easier to make heat with the sun. The caveat is finding someone experienced enough to repair it.
Solar Air Conditioning | Solar Cooling & AC | Solar Absorption Chillers & Air Conditioners
I saw the pv powered mini splits at the Lennox distributor. The list price was around $4k and included panels. Everything was DC.