When spreading lime, you're doing it to grow a food plot for deer. It's not like painting a wall, where EVERY square inch must be covered equally. If you have some thin spots, it's not the end of the world. If you till your ground at all, it'll get mixed around anyway.
The first time I spread pelletized lime in an old, neglected field, I threw it on top of snow. ( see post #3 above ). It wasn't evenly spread by any means, but the wild clover came up all through that field and the deer started feeding there regularly. The clover wasn't uniform all around the field, but the pH started to change and spreading more lime later made the clover fill in and we had a pretty good plot. That plot wasn't seeded - just wild clover.
Improvement starts the first day you put lime down. I was told by a Penn State Ag. professor to look at lime as the chemical " key " that unlocks the nutrients that are in the soil and makes them available to plants. FWIW.