I checked some charts and found that KZTL Newport (127.55/269.5 Low, 134.075/236.5 Ultra-High) is southwest of Holston Mtn VOR, KZTL Whitesburg (127.85/371.85) is north of Holston Mtn VOR, KZTL Jonesville (119.575/257.9) is south-southeast of Holston VOR, but I didn't see any KZTL RCAG close to Pulaski VOR. I would guess KZTL Tricity (120.725/126.775/301.4/354.15 High, 132.9/319.9 Low) or KZTL Crossville (125.925/236.7 High, 132.675/279.5 Ultra-High, 133.6/254.3 Low) would cover it.
That area is also close to Indy ARTCC and Washington ARTCC, so they may also cover some of that area.
Rod
Atlanta