What make is the mill?
Would you be purchasing logs by the cord or by board foot, read, scaled logs? Have it weighed on a truck scale if sold by the cord.
How big is a " small frame"?
Keep looking for a logger who will fill your order. Can you go to the yard and have them load the logs on a trailer, yours or borrowed from a friend? You could offer to pay extra for the logs you need.
Have you considered you may just need a truck load. Once the frame is built it needs to be closed in and so you need planks and more. Saw them in to a variety of stock, siding, boarding, scantlings, blocking, shingles, some to sell to recoup and pay for the mill, fuel, log cost etc. Don't try to keep them in log form, they are perishable, and so need to be converted, processed, refined,
A general rule, 2 cord per 1000 board feet. That truck load is about 5000 bf for recoverable wood. Just a quick estimate, it varies with the size of logs and species.
