Grant,
I like ball bearings, specifically angular contact ball bearings, as they are very efficient especially compared to taper roller bearings. You can set up angular contact ball bearings with a set preload that will resist deflection and axial load and still provide a very efficient rolling action, where as tapered roller bearings are extremely sensitive to preload, to much (and to much might be as little as .001 inch to much preload) and the bearings will over heat and fail. You will need to calculate the axial thrust and also the radial loading of the bevel gears and this will pretty much set the bearing size.
I would suggest that you make both of the bevel gears to be assembled with their shafts and bearings in a cylindrical carrier with a flange on the end opposite the gear. The allows you to assemble the gears, bearings and shafts on the bench and then insert into a bore in your housing and use shims between the flange and housing to set the gear lash.
Regarding lubrication, do not squirt the oil between meshing gears such that the oil is going the same way as the gears are turning, this will force oil into the clearance gap between the gear teeth and literally make an oil pump, which will create lots of heat. If you spray the oil into the meshing teeth make it on the back side of the mesh where the teeth are disengaging. This will cool the teeth and provide lube for when they come around again to mesh. Also if possible get one of the gears with at least one extra tooth as this will prevent the same teeth from always working against each other which accelerates wear. You should also provide some sort of spray for the bearings but again do not flood them as this will cause them to heat up.
Regarding torque pulsations, which your V8 will have, ( If you happen to use a 180 deg flat plane crank the pulsations will be almost 2 times larger than a 90 deg crank) some of the things that you can do to reduce the peak of the instantaneous torque are to use a heavy flywheel/clutch combination, use a good crank dampener, use some sort of flexible(in torsion) shaft or coupling that will take the peaks off of the torque spikes. Several years ago George Poteet's streamliner was using some very expensive 7 speed trannys and they were breaking them like they had a truck load of them. I do not know what they did to end the carnage but my guess is the they did one or several of my suggestions to reduce the shock load.
Rex