Phosphor-based broadband infrared LEDs exist but are relatively expensive. The Osram SFH 4776 has a similar wavelength to what you specified (700-1050nm) but it has an unusual pad arrangement. It might be difficult to find an MCPCB from the common sources that will match this layout.

The Osram SFH 4736 has a more typical arrangement but a wider wavelenth stretching well into the visible space (600-1050nm).

Luckily, both of these LEDs seem to have fairly typical voltage and current requirements so I don’t think driving them will be a problem. I haven’t actually tested either of these emitters personally, so take this with a grain of salt.