The "BE" doesn't mean a thing and has nothing at all to do with Bullseye. I understand that it is closer to Unique in burn rate.
It sounds to me like it would be a very useful powder, not the hottest, but a good medium powder. I'm not sure what any other characteristics are. I would suppose clean, less flash. It's advertised as having good metering. It's good for .32 to .45 Colt and .44 Magnum. It gets hotter velocities.
You really need to look at the manual before describing what it can do.
I see a lot of people on this forum preaching to look at the manual.
Instead of actually reading the manual, most opinions I see,
are from people who have never even seen the powder
So, here are the figures, cut, and pasted for you for these two calibers.
I will even post the link again
Alliant Powder - Reloader's Guide
http://www.alliantpowder.com/resources/alliant/2016_Alliant_Powder.pdf
As you see, other than Pro 300mp, It is the fastest powder in 357 mag.
and barely 3rd in 44mag, with 10 grains less powder.
I would say this powder can truck when needed.
158-gr JHP BE-86 Fed. 100 Federal 1.570 7.8 1362
158-gr Cast RNFP BE-86 Fed. 100 Federal 1.570 8.1 1438
158-gr JSP BE-86 Fed. 100 Federal 1.565 8.1 1390
158-gr Speer UCSP Power Pro 300-MP Fed. 1.570 18.6 1690
158-gr Speer GDHP Unique CCI 500 Speer 1.575 7.7 1040
158-gr Speer GDHP Power Pistol CCI 500 Speer 1.575 8.5 1078
158-gr Speer GDHP Blue Dot CCI 500 Speer 1.575 10.2 1188
158-gr Speer GDHP 2400 CCI 500 Speer 1.575 14.8 1265
44 mag is not far behind. 2400 needs 10 more grains of powder for 100fps.
300mp, is well 300mp.
240-gr JHP BE-86 Fed. 150 Federal 1.565 11.6 1322
240-gr Cast RNFP BE-86 Fed. 150 Federal 1.580 11.8 1324
240-gr cast LSWC Bullseye CCI 300 Speer 1.605 6.0 894
240-gr cast LSWC Red Dot CCI 300 Speer 1.605 6.5 905
240-gr cast LSWC Green Dot CCI 300 Speer 1.605 7.0 901
240-gr cast LSWC Unique CCI 300 Speer 1.605 7.0 899
240-gr Speer GDSP Power Pro 300-MP Fed. 150 Federal 1.575 25.0 1570
240-gr Speer GDHP Unique CCI 300 Speer 1.575 10.3 1175
240-gr Speer GDHP Blue Dot CCI 300 Speer 1.575 13.7 1285
240-gr Speer GDHP 2400 CCI 300 Speer 1.575 21.0 1434