An A-36 fully bombed up, is not going to be able to reach 360 mph or 345 mph for that matter. I would expect those figures to be as a "clean" configuration.
However, any bomber or fighter bomber able to travel raster than about 310 mph is going to be a very hard target for an FW 190 to catch. Mosquito B IVs fully loaded and armed had a top speed of around 340 mph. They were basically uninterceptable at that speed. An Fw 190 at that speed I expect is going have the throttles wide open, fuel consumption right up, and far less endurance as a result. In most cases they will lack the legs to keep up or catch up.
If the raid is first detected at a range of say 50 miles, the FW 190 and the target for the bombers is say 150 miles from take off. The A-36 travelling at 340mph will reach target in less than half an hour. If the range to intercept is 50 miles, and the FW 190 wants to intercept before the attack gets under way, he has to do that in less than half an hour. He will need to be travelling at least 390 mph in order tyo intercept by my calculations, which he cannot do. He might catch the A-36 on the return leg, but by then the A-36 has the throttles wide open too and the speed difference might be 20mph or less. Lets assume the A-36 is 20 miles from the Fw190 by the time he starts to head for home, and the rate of closure is now 20mph. It will take the A-36 less than half an hour to get home, but it would take the FW 190 an hour to catch him....in other words he cannot do it.
Of course there are endless variations to this, but the basic maths makes it a difficult prospect to intercept, whern there is only a 40 or 50 mph in speed difference.