Yes 6061 is used for vehicle frames, construction and I'm sure bike frames in the mid-range. I mentioned 6061 because it is so widely available, but mentioned that a 1000 alloy would be quite sufficient for his use.

7000 alloys are used for high end athletic equipment, including bike frames, but it is much more expensive. It is stronger, so a structure can be lighter, but it is very brittle and difficult to weld without cracking. Its primary use is aircraft skins.