Can I use aluminum tape or naked two paralleled striped cables to connect parallel LED strips?
Aluminum forms a layer of aluminum oxide as soon as it is exposed to air. This is good because aluminum oxide is sapphire or corundum and is very tough. This is bad because it is in insulator. Electrical connections to aluminum chassis use pointy lock washers or press-fit terminals to cut through the oxide. Silver is OK. Silver oxide is a conductor.

Stripped solid copper sounds easy. Or cut away rings of insulation at the needed intervals. If you look inside mass produced low voltage lights you will see lots of the bare copper method.

Here is a way to use solid copper wire with vinyl (or similar) insulation. Using wire that is not too big - say #22 - tie one end to something solid. I use a door knob. Unroll about 6 feet and tie to a screw driver or dowel. Apply strain and try to stretch. Increase the pressure slowly until you feel the copper "yield". You have exceeded the elastic limit and it will stay completely straight. If someone can help, clip it at each end and carry to a table and cut to convenient lengths with an Xacto or razor blade.

Not only are the pieces straight and great for bread-boarding, but the copper has stretched and reduced in diameter so that the insulation will slide freely. You can make little rings of open copper by rolling the wire under the blade to cut the insulation then making a lengthwise cut and peel out the piece. I have been doing my bread-board wire this way since the solderless breadboard was invented, or maybe before? On the bread-board thing, I always had a pair of hemostats to bend the wire and hold it to insert in a hole and make bends so every thing is nice. Neat but not gaudy. If you want to do it with heavy wire, add a little leverage with a broom handle or a jack. You can add that nice  science fair or Hack-a-Day look.