Here's a suggestion. It may be more $$$$ than you're looking to spend, but a idea anyway.
Take a look at Ferguson "Yardmaker" seeders. They're a relatively inexpensive seeder with a roller/aerifier mounted on the rear end. They come in 4', 5', 6', 7', and 8' versions. The roller can be filled with water for extra weight. They come in 3-point hitch or pull-type. Seeder is merely a drop seeder that runs (by chain) from the roller. Aerifier spikes are about 2-1/2" long. I believe they're in the $2200 for a 6', 3-point model. Been several years since I priced one.
They can spread seed, fertilizer, or lime.