I would go to the hardware store and buy 2 lengths of 1/4" chain, maybe 5 feet long each, and 2 grab hooks and 2 slip hooks-clevis attached type. (You will later find that 2 short, light chains with hooks are handier than pockets on pants around the yard, too)
Then source a pipe (2" or 2 1/2" or 3", no smaller) or a post (4X4) long enough to reach across the drill. (10-12 feet).
Set it on the seed boxes, maybe temporarily on 4" blocks and chain it loosely to the tops of the wheels. Leave 4" inches of space above the seed boxes. Then the forklift can slip the tines under the post or pipe and lift straight up. The wheel rims will be strong enough to hang its own weight.
If you use steel pipe, be sure to keep the forks level, so the beam doesn't slide off the slippery steel forks. Or you could chain the pipe back to the backrest of the forks, then tilt the forks foreward a little (against the hold back chains) so it can't slide off the forks. Watch also that it doesn't slide toward the tractor, so you don't wreck something on your new drill.
Best keep them level. A wood post will be more stable. 2 or 3 2X4s, screwed or nailed together lightly, would probably work.
If you go to the axle with this setup, I think the drill might be top-heavy and want to pitch forward or backwards until it's upside down. Even so, hang onto the tongue when first lifting to see how it balances. Maybe a 2X4 stuck (and bolted) into the tongue could give you a safe handle to control this tendency. Bring a cordless drill, a 1/2" bit and a 1/2 by 4" bolt to secure the 2X4 into the tongue. Keep the 2X4 tongue perpendicular to the seed boxes for best control.