@Julio Cardenas Mini splits could be a good option.
@Ricardo Meza Carrier, Bryant, York do not make their own mini splits. They rebrand Samsung/Mitsubishi/Toshiba/Panasonic/Daikin etc. Parts are readily available at their factory distribution centers here in the states, but may be somewhat hard to find at the local distributions level. Just depends on the distributor really.
@Ronan M. That's not entirely true, but usually the case. Many manufacturers offer ducted mini split units, along with the standard high wall most people are used to seeing, ceiling cassettes and even a unitary style air handler we're used to seeing in mechanical rooms. You are correct about the heating vs the cooling and ability to keep up. Samsung makes a unit they call their "Nordic" and Mitsubishi has their "Hyperheat". I'm not sure if they make the low ambient units in a multi-head unit though?
The upfront costs usually scare people because they are never compared apple to apple. They just say, "I can get this regular system that will cool this space for $3,000 or I can get this Samsung mini split for $4,000!?"
Mini splits have higher efficiency ratings, which still really isn't fair because AHRI makes them lock their inverter compressor(another big benefit) in at 60hz like a standard heat pump and doesn't let it perform like it should.
If I were you I would have a reputable company come out and do a heat load. Once you know your heat load they'll be able to look at the charts for the mini split and tell you if X unit is capable of producing Y amount of BTU's at Z ambient temperature. One thing to look out for, some manufactures will completely lock out at say 17 degrees F, while others have no hard temperature lockout feature. Samsung for example might be able to operate at 0 degrees, provided it doesn't lock out due to a high/low pressure switch.
Hope that helps! I've been in HVAC distribution for the last 14 years and have quite a bit of experience with mini splits and VRF systems.