BE-86 & Power Pistol
I am surprised I have not seen Alliant BE-86 mentioned. It is a modernized, low flash "updated" version of Bullseye, with better velocities and has published loads listed for 9mm, 38 Sp, 40 S&W, 45 ACP, (all at what I would call respetable velocities) along with many other like 10mm, 45 Colt, 357 Mag., etc.
I do have a recently purchased canister on my shelf, but have used Alliant Power Pistol more, for even higher velocities. Power Pistol is not flash suppressed, but I never notice when shooting at an outdoor range in daylight. PP will hand the same broad range of calibers.
Other powders providing similar velocities across calibers are Silhouette (flash suppressed) and CFE Pistol. CFE-P in 38 Sp +P will get your 1199 fps with 125 grain H.XTP. 1133 for regular 38 Sp.