You should give some details about what you want to do, because at 2 GHz it's not happening.
Just think of the S/H input. That's a digital signal. But you can't naively toggle a CMOS line at 2 GHz. Clock period is 500 ps. You have two edges separated by 250 ps. Let's be generous and say you can spend 1/5th of that on rise/fall times, that's 50 ps. Say you're using very low voltage 0.7V CMOS. That's a dV/dt of 14 GV/s. Even with a tiny stray capacitance of C=3pF you'll be moving I=C dV/dT=42 mA currents, which over 50 ps is 840 MA/s. Got a 5 nH stray inductance? That'll be V=-L dI/dt =-4.2 V but the logic threshold is at 0.35V.
Single-ened CMOS control is not working. That means we're looking for a discrete S&H IC with an aperture of 500 ps and an LVDS or PECL S/H control input. Who's gonna buy that? But what's the market for that? Non-obsolete ADCs come with their own S&H circuits. What are the remaining applications? I don't know, my guess is that they will be very niche high-speed analog but not RF applications for which the analog wizards can probably come up with solutions based on high-speed current-mode op-amps, a couple FETs or whatnot.
That being said the fastest discrete S&H I found is the TI OPA615
https://www.ti.com/product/OPA615The amplifier BW is ~700 MHz however that doesn't mean you can sample any random signal at that frequency, it will depend on the signal levels and the source impedance for example, plus there is the settling time.