If it's at the same impedance, then going from 1V to 30V simply requires 29.5dB gain. Probably two stages, maybe three. That could be done with a bandpass or wideband characteristic; it doesn't really matter, as transistors are more than fast enough to do that.
30V RMS into 50 ohms is 18W, so you'll need a modest sized power output transistor to get there, and a ~couple W 'predriver' for it.
If the load impedance is lower, you need that much more power. If your signal source is, for example, LVCMOS or thereabouts, it'll be expecting a load over 100 ohms, and therefore will need several more gain stages to reach the output. That's fair enough -- it's small signal stuff.
On the upside, high power transistors are almost all at modest voltages (~28V DC, which almost always means >56V peak by the way), so the collector/drain impedances tend to be very low indeed, requiring matching networks to reach useful transmission line impedances. Often using planar transmission line segments to do the matching. Which are necessarily quite narrowband, hence why you rarely see example application circuits claimed for wideband use. Anyway, if your load is already a low impedance, you can just extend that super fat transmission line up to the load. But the load itself better have a wide footprint, otherwise its few nH will kill the frequency response (and probably nuke the driver).
And going back to MOSFETs, don't forget that the drain needs to be charged and discharged as well. That consumes as much peak reactive power (dissipated as loss, during turn-on) as the transistor's SOA can possibly muster, leaving none for the load! If it can't discharge itself that fast, you absolutely cannot do any better at the load!
And if you're already driving that much power into the gate just to convince it to move, you can't possibly hope to get any more out of the drain because it simply doesn't have any gain at that speed! Yes, don't be afraid to apply concepts such as gain and loss at frequency, or gain bandwidth product, even when the device is being operated with very large signals. Fundamental limits are fundamental, whether they're being observed by small signal parameters and amplifier efficiency, or full signal swing with switching speed and efficiency.
Tim