[Radioroslyn]

Would go w/ 2coats of sanding sealer. This will give you some perspective on how it's going to look and what areas need attention before you proceed. Give it a light sand w/400g paper w/a rubber sanding block.
 
Grain fill w/walnut colored filler. This will make the grain standout. If you grain fill over bare wood/veneer it tends to stain the wood but by using the sealer 1st the grain gets filled but the wood doesn't get stained.

Another coat of sealer. The filler leaves it really dull a quick coat of sealer will let you know how it's coming along. Light sand.
Toning. Overall medium walnut or perfect walnut are good. For the base, top, and spk trim ex dark walnut or van Dyk are good.

 Bear in mind over the last 80yrs the toner on this cabinet has faded. I was surprised when I started disassembling my 16B tombstone. Under the dial bezel the panel was almost black vs the rest of it which was a milk chocolate color.  I had thought it was the lighter brown but apparently not. It may look a little darker than your use to but it's probably closer to its original color than you think.

For the clear coat I've been told that most Philco set had a high gloss finish. Personally, I'm not a big fan of high gloss. I think on this set it would look good. As for coats well maybe 5 or 6 depending on how much you like buffing. 

In terms how many cans I have no clue. I know it gotten awful expensive. When I first started buying it it was $5.50 a can now it's abt $11. I'm tempted to buy in qt's or gal's and use my hvlp sprayer. I not sure what the shelf life is for these sorts of products. Would want to have a bunch of projects lined up and ready to go. Maybe next Spring...