Good places....
The holidays may change the hours so Id call or look online
first.
There are a few spots close by;
Signal Zero in Saint Cloud FL, Bass Pro Shop on I drive in Orlando(near the I4), Shoot Straight(441/OBT; about 30-40min with traffic), Big T's Guns, Oak Ridge Gun Shop & Range(SODO/south of downtown Orlando).
Tourists & business travel guys like to shoot up rentals at the gun ranges.
As noted, Tue or Wed may be better if you can set it up. Less crowds & drama.
Reigs on Orange Blossom Trail is close but it's in a "shady-sketchy" area.
They have a decent range & allow customers to shoot guns/ammo(no reloads, tracers, AP, or hand loaded). The shop is owned/run by a retired Orlando fire dept LT.
Rusty