assuming you want to use tubes, there are a lot of 28mm tires that are high quality and would work well on hardpack dirt and packed limestone.
Continental GP4000SII in 28mm size balloons out to 30-31mm in true size depending on the rim width. This is a great combination of weight, low rolling resistance, and price for smooth hardpack dirt road riding.
Panaracer has a Gravel King model that uses a file tread and is a 28mm size width that is true to size on a 23mm external rim.
...while I will ride gravel roads on my 28mm GP4k tires when its necessary to connect paved roads, I dont want to do it for more than a mile or two as it simply isnt fun. If the roads are hardpack dirt though- well thats doable and fun.