Note that I only play 3v3
In early tiers (1-7) I find that’s a head-on rush is the best policy.
Roams don’t know wtf they’re doing, and as long as your carry knows what an auto attack is, you should be fine.
When you do this, you’re essentially breaking the enemy’s backline, so their attention is focused on you, which is great if your carry sucks at kiting, and it also makes them panic. I’ve seen tons of people who panic and blow all their resources.
Obviously, it’s bad to run in a straight line at people, so you wanna move in a slightly zig-zaggy pattern to make it hard to hit you, or pop boots and run at the from a side. Do this before the enemy laner gets full stacks of BP on your roam who thinks they’re doing you a favour by tanking those autos, and preferably catch people by surprise.
If you’re an auto reliant melee champ, do not get hit by the Atlas Pauldron, or you’re gonna be in for a bad time. If your laner knows what they’re doing and wants to stack their BP or Dragon’s Eye (without giving enemy any stacks), let them do so and hang back a bit. If your team isn’t the type to get caught out, you could also try sneaking up from behind the enemy team and have your carry come in after you have their attention.
If you’re playing the melee champion as a laner (such as BF or Glaive) and your jungler is melee too, I find that it seems quite difficult to lose. Buy some defensive items, wait out the difficult early game and then you stick to the enemy carry like glue.