Is their a cheap 30-06 lever?
Not that I'm aware of. The most common has already been mentioned, the Browning BLR.
Winchester (and Browning) have made reproductions of the Winchester 1895 in .30-06 which have modern steel receivers. These are no longer manufactured, but you can find them on sale occasionally for $1400-1600 or so. (You should be careful of some original 1895's in .30-06 -- the steel wasn't as good and the bolts can actually shorten from extended use, resulting in unsafe headspace. At least, I read a report that claimed this could occur.)
If you think the BLR looks funny, you should see a 1895. It has a built-in box magazine, one of the first lever-actions to be able to handle spitzer (pointed) bullets, which were coming into favor for military use at that time.
Anyway, that's the general answer to why you would want a lever action with a box magazine. Until Hornady's recent Leverolution ammo, you couldn't use spitzer bullets in a lever-action, due to the danger of detonating primers on recoil. (Or dropping the rifle...) The box magazine designs, while ugly, were functional.