Zak, the first point is that speakers don't necessarily have to "handle" the maximum output of an amplifier, regardless of how high the number is. You're in control of how much power is actually used by your control of the volume level. At a typical comfortably loud average level about 1 watt is being used, and of course much more is used on brief high level peaks.
You don't explain why you're considering a change from the RX-V3800. This is a quite high-powered 140 watt max per channel amplifier. A 200 watt max amplifier simply allows playing a peak about 2 dB louder(e.g., 107dB rather than 105dB). Unless your use is at an unusually long distance and/or extremely high(and dangerous to hearing)volume levels, the RX-V3800 would appear to have ample output capability.
