Common failure modes for these scopes are the bridge rectifiers and filter caps. If you have an esr meter, check the filter caps - they tend to fail open and result in huge amounts of ripple on the power rails; that makes everything act wierd.
Otherwise, just check the resistance between the power test points and ground, you should not see 0 ohms anywhere, if you do you still have a short somewhere.
If everything looks good, power it up and, if you don't have another scope, check the ripple on the power rails with a dvm on an ac range, maybe run though a blocking cap. It should be in the mv range, but the specs are in the service manual. Check ALL of the power supply voltages; they all need to be in spec.
Tek scopes are pretty solid, it's fairly rare that a power supply failure will take out something else.
If you don't have a service manual, you should be able to download one from the usual sites. There's a manual at the Tekwiki, but I don't know if it's just the operating manual or the service manual.