Integrateds should be cheaper (one chassis, one power cord, save on a pair of interconnects) and in a good design the pre/power sections will be optimized to work well with each other.
But 200 wpc integrateds are much more rare than 200 watt amps. Do you really need 200 watts? Is your room(s) very large? Are your speaker very inefficient? Do you listen very loud? The Phase Linear came from a bigger is better age. Remember that according to those nasty laws of physics you must double the power to gain only 3 dB of sound pressure levels. OTOH lots of clean power is better than less distorted power from overloaded amps.
Separates do give more options and flexibility, but its then up to you to find pre and power amps that synergize with each other. Staying with the same manufacturer (or maybe the same retailer) for both should take care of that.
If you really do need that kind of power around that budget, look into these high quality/high value brands (all here at Audio Circle):
Audio by Van Alstine (Frank is the grumpy old guy with tons of experience, feels free to use both tubes and solid state, and offers upgrade paths)
Channel Island Audio (Dusty doesn't brag enough on himself but has well built, practical, high performance, cutting edge stuff)
Odyssey Audio (Klaus is hard working, a value leader, and offers 20 year warrantys)