From Wikipedia...
"The 170 ft mast atop the building has carried various television and radio signals since the building's completion. The mast supported 1971 start up channel 26 KVRL (TV) (later KDOG, now KRIV) and a mast that simultaneously radiated signals for eight FM stations KYND (then 92.5, now KKBQ-FM on 92.9 MHz), 93.7 KRLY (now KKRW), 95.7 KIKK-FM (now KKHH), 99.1 KODA, 100.3 KILT-FM, 101.1 KLOL, 102.1 KLYX, and 104.1 KRBE. The combiner and antenna was supplied by Electronic Research Inc. One Shell was used until the completion of the then Texas Commerce Tower and Allied Bank Plaza in 1982–1983, creating a skyscraper canyon that causes multipath distortion, and necessitated the move to the Houston antenna farm in Harris County."
The problem is that those two buildings, now known as the JPMorgan Chase Tower and the Wells Fargo Plaza respectively, have roofs that are higher than the mast on One Shell Plaza. And Wells is very, very close, right across McKinney Street. If a 200 foot mast was erected on the top of, say, JPMorgan, a lot of those multipath issues would disappear. Higher up, even better.
For what it is worth, the KLTN/KAMA location just east of downtown is a bit under 1000 feet, if I remember correctly.
The Senior Road location isn't terrible, but it is about 16 miles outside of the center of town. That's not insignificant if you live in, say, The Woodlands.