All of your property is within the range of coax if the system is properly designed.
RG6 has up to 6 dB of signal loss per 100' of coax (at the top end of the UHF band). RG11 has about 3.6 dB loss through the same distance.
Finding an amplifier that can drive 200 to 300 feet of RG6 is easy but, both types of coax have far less loss at lower frequencies so equalization may be needed. Your strongest signals are VHF so this issue of equalization will need to be considered if you need to use more than one mid-span amplifier. (You need to avoid the VHF signals becoming much stronger than the UHF signals as they pass through the coax.)
Powering the amplifiers may require running power cable along with the coax if there is no power at the mid-point or remote antenna location. The power could be 120 VAC or DC at a voltage level appropriate for the amplifier(s) used. AC power may cause noise issues, I would look at the cost and complexity of distributing DC.
All of this is theory at this point... you need to find a reliable signal first. Once you know how long the cable run will be, we can deal with the situation.
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