Your set temperature is too high, very few materials (uncommon) are used at these temperature ranges. I would have suggested ferric heat resistant alloyl (Fe-25Cr-4.5Al) and intermetallics (Ni3Al, Ti3Al) but they are outside the range of your requirement. Nevertheless, i hope this might help: Monolithic graphite up to 2700 degC, carbon-carbon fibre composite of rayon or polyacrylinitrile (PAN), sintered silicon carbide, SiC (a ceramic matrix composite up to 2400 degC), refractory materials (molybdenum, tantalum close to 3000 degC).
Remember by definition that high temperature and high strength (pressure) materials are those used at temperatures > 500 degC.