Is Black Python 3 ok? It's the only one who fits the allowed bv.
No, those heavy lasers, while delivering more damage, incur a +1 targeting roll modifier, making it harder to hit enemy units. The 3 also only jumps 4 hexes. Plus, I don't think it exists circa 3055.
It was my mistake to put the Black Python on my list. It is outside the BV2 limit. (I must have been looking at BV1.) I crossed it out above.
Given that everyone's skills are fixed at 3/4, I'd go with the Vapor Eagle (Goshawk). The Eagle has 6/9/6 movement, which means you can dance at the extreme ranges of your opponents' weapons and seek cover for most of the match and force +3 movement modifiers on them while doing so. It has 9 tons (173 points) of ferro armor, which is very good for a 55-ton mech and should shrug off a few lucky hits. And the Eagle carries a large pulse laser for sniping at long range through most of the match and three medium pulse lasers for taking down opponents at the end of the match. The -2 targeting roll from these pulse lasers will offset your average 4 gunnery and your running/jumping movement. And it comes in under the limit at 2,368 BV2.
There aren't many downsides to the Eagle but one is that it carries Streak SRM-2s, machine guns, and their associated ammo. You need to watch the armor around those ammo bins and dump the ammo when they're in danger of being breached. You may even want to dump it on the very first turn if you think you'll forget.
The other downside to the Eagle is that it is largely a finesse mech. It can bully lights and some mediums but it just can't lumber into the middle of a firefight against a bunch of heavies or assaults and expect to last more than a couple or few turns. If that's your style of play, then take one of the bigger, slower designs from my list. But if you're comfortable staying away from other mechs, jumping behind cover, taking potshots for most of the match, and only seriously engaging towards the end to finish off an opponent or two, the Eagle is about as good as it comes for canon designs in that era.
Finally, the Eagle, while very mobile, is not the absolute fastest design. Watch for speed freaks with close-ranged weapons. There's always someone with something like a Fire Moth D who, if they get the initiative, will run in behind you and try gut your rear armor.
Best of luck. Do your Bloodhouse proud.