Kaiju was designed around the 5670, not with alternative tubes in mind. Most candidate drivers will need changes to the voltages and currents; some will also require an adapter. I looked at quite a number of candidates to pick the 5670, but have not done the detailed calculations for any alternatives, so I can't at this point say which might or might not be made to work out.
Sonic upgrades and downgrades are so much personal taste that I can't usefully comment.
Kaiju will usually need a preamp in most systems. There are exceptions, but not that many.