Speer #14 says to use a maximum of 5.8gr of Unique with their 124gr GDHP (plated) bullet. Bullseye is not listed with this bullet.
I don't have any Bullseye, but I've loaded some Dardas 125gr LRN cast lead bullets using Unique. With a COL of 1.140", Fiocchi brass at .750", CCI 500 primers, and a light crimp using a LFC die, 4.3gr of Unique produced 925 fps out of my Beretta 8000F Cougar (3.6" barrel), while 4.7gr of Unique produced 985 fps. I'd have no problems going up to 5.0gr or so of Unique for about 1050 fps out of the Cougar. I'd expect another 50-70 fps from these loads out of the Beretta 92FS (4.9" barrel). In your gun, start low and work up slowly, looking for pressure signs as you go.
As to whether any of these loads will give you leading in your barrel, only you can determine that. In my guns leading hasn't been noticeable. But I haven't pushed them very hard either.
My PD duplication loads are 124gr FMJ-RN encapsulated bullets from Hornady and Montana Gold pushed to over 1100 fps. These duplicate my carry loads (124gr Speer GDHP) very well, at a small fraction of what the Speers cost.