I plan to use a threaded rod and washers to press the races in, can I press the races in with the bearing in the race and a washer on the bearing to ensure a full seat?
I've never pressed bearings in where pressure was on the rolling bearing. Taper roller bearings, no pressing on the inner race with pressure going onto the rollers to press in the outer race. I have my doubts if a threaded rod method will have enough power to pull the outer race into the head.
One method you could do is to use one (or both) OLD outer races as "presses". You would need to grind or sand the OD of the OLD races down such that they readily slip/fall out of the head but are not so small that they do not give good contact to the new outer race face. So...
...New outer race placed into the head. Set old race against face of new race. Tap old race surface to set the new race into place (or use your threaded rod method - all depending upon the resistance of the new race in the head). Remove threaded rod, old race falls free - new outer race set into place.
Me, I just used a punch (driven by hammer) and went around the face of the new race to set them. When they are 'IN' the punch will have a different feel/rebound letting you know you're done.