Developing your own is a pretty good idea if you bid out a lot of drilling work. There are plenty of other DOTs with "Technical Specifications for Subsurface Explorations" to help develop your own. Here's a rock core section that I've used in the past that doesn't have the ASTM call out. I'm not sure if these drilling techniques are similar to what is used in Tennesee, so they may not actually be helpful.
ROCK CORE BORINGS
Whenever rock is encountered, or at such locations as the Inspector may direct, the Contractor shall take continuous core samples to a depth directed by the Inspector by means of a diamond drill and double-tube core barrel of such size as to yield cores no less than 1-3/8-inches in diameter. This core drilling may be supplemental to one of the other types of borings or the total boring may be a core boring.
When drilling through rock or boulders, a chopping bit or roller bit shall be used to break up all disintegrated rock, and the casing shall be firmly seated on firm rock by driving and washing out before inserting the diamond bit. The drilling shall be done with standard core drilling machinery of the rotary type with either screw, hydraulic, or hand feed.
The boring shall be carried into the bedrock to a depth sufficient to permit the Inspector to determine to his satisfaction the character of the rock penetrated. The depth of core borings will be a minimum of 10 feet or to such greater depths as the Inspector may direct.
The core bit shall be started in the hole and drilled for a maximum depth of 5 feet. The drill shall then be withdrawn and the core removed from the barrel, labeled and stored as hereinafter specified. Drilling shall be continued in runs not exceeding 5 feet until the total depth required by the Inspector has been reached. If the core bit should become blocked by a piece of broken core, the barrel shall be retrieved and cleaned before continuing the drilling.
The Contractor shall exercise due care to obtain satisfactory cores with at least 70 percent recovery from all materials of a character that would ordinarily produce satisfactory rock cores under the operation of a standard type core drill.
It is important that the percentage of recovery of the cores shall be as large as possible, and the Contractor shall regulate the speed of this drill and remove the core as frequently as directed in order to maintain a maximum percentage of recovery. Special care shall be taken where the character of rock being penetrated is uncertain. If the appliances on any machine are not such as will give a reasonable amount of core recovery in the opinion of the Inspector, the Contractor shall furnish such appliances or equipment as will be satisfactory.
Should it be impractical at any depth of rock to obtain a core, or should a seam of soft or disintegrated rock be encountered, particular care shall be taken to obtain samples of the material and the correct measurements of the depth for which no core is obtainable. The Contractor will be required to obtain the maximum possible recovery using the most modern drilling equipment available, such as the Christensen D-3 core barrel, or equivalent.
The drilling time per foot of rock drilling and length of recovery per run of the core shall be recorded by the Contractor and shall be indicated on the typed boring log submitted by the Contractor.
Rock cores shall be carefully handled to ensure their proper identification and placing in the order in which they are removed from the hole. Rock cores shall be marked and placed in boxes as specified elsewhere herein. The Contractor shall provide the core boxes, and no core drilling shall begin without having such boxes at hand at the boring site. The Contractor shall carefully preserve these rock samples and deliver them as hereinafter specified.