It is not quite clear to me whether you have built the Marshall on a fresh "new" chassis or exactly what you have going on.
However, strictly from the (very high) voltage you report it sounds like you are feeding a voltage doubler with your 368---I think the factor is roughly 2.5, no load. 368 * 2.4 = 883 VDC.
Whether you have planned it that way or not. If your power transformer is indeed 368-0-368 then you do not want a bridge rectifier with four diodes; you want a "two diode" full wave rectifier much like a Fender Twin Reverb. That should give you 1.4 * 368 = 515 which is much closer to your ballpark. It's still a tad high, maybe 50 volts, but not completely out of control like 880 volts! You could reduce that pretty easily with the zener diode trick.
http://el34world.com/Forum/index.php?topic=17595.0 Also, if you are going to put e-caps in series like the Marshall schematic, it's highly recommended you use "balancing" resistors in parallel with each cap. The traditional value is 220K/1 watt, though in a new build I would probably want 2 watt or even 3 watt for no good reason other than overengineering, but you are more likely to get flameproof resistors selecting new power resistors. In truth, only about 1 mil flows through those resistors: They split a nominal 460 volts (in a Twin) or 230 volts each. Throw a 220K resistor across them and that R pulls ~~1 mil. 230/220K = .001 amp = 1 mil.
Alternatively, you could use lower value resistors as your balancers (as the Marshall does) and they would drop a few more volts. But they will start to dissipate power = heat. Do the math, as they say.
With that tranny, I would say to go look at a Fender AB763 Twin reverb power supply and duplicate it, exactly. I take it your ex-Bogen power transformer does not have a bias tap. You can just steal a side of the HV winding, run it through a "backwards" diode, voltage divider, and obtain your bias in that fashion.
Hope you didn't smoke your e-cap but I suspect you did.