My take would be LP Valje, though I'm saying that based on how much they don't look like my old 1985 San Francisco Valjes (and the fact, of course, that 1987 is after the SF factory burnt down). See photos:
http://picasaweb.google.com/taikonoatam ... sMid1980S#Obvious Visual Differences
Wood: Akbar (SF Valjes, c. 1983 -1986) used really tight-grained quarter-sawn oak, typically with lots of dark flecks in the grain like you see in the photos below. Your drums look to have a very different looking oak, not cut the same way, from the same source, or finished the same.
Logo sticker: Yours doesn't have "Handmade in USA" on it like the SF vintage did.
Inside: Is that white glue between the staves? Akbar used a clearish/brownish glue. Also, Tom Flores and Akbar cut a series of grooves in the inside of the shells, about a halfway up that I don't think LP did - look at pics. Also, Tom or Akbar didn't write anything (like a date) inside the drums.
Oh, missed this .... When you say, "The lugs and the rims all have the Valje imprint on them" - do you mean the metal is actually stamped with "Valje"? If so, then clearly LP.
They could still be nice drums - enjoy them!
James