The typical solution is just to terminate one half of the differential output and deliver the other half to the single-ended transmission line. Your device provides up to 700 mV peak-peak output, which is as high as you're likely to see in a logic buffer at this data rate.
If you need a buffer amplifier to maybe prevent damage to the more-expensive TIA chip due to being connected to an off-board circuit, you could look at something like On Semi's NBSG16 12 Gb/s buffer.
If you need more than 700 mV swing, you could look at something designed as an electro-optic modulator driver, for example Picosecond Pulse Labs (now TextronixTektronix) 5865 amplifier. This can do up to 8 V peak-peak output at 12.5 Gb/s.