I'm going to disagree with mmckenna on the 2m idea. 2 meter repeaters are the lowest common denominator in ham radio. It has it's uses, and is convenient, but if you hope to get serious in the hobby, there are better ways to get started.
As mentioned, the 10 meter FM Alinco radios are verboten for a tech. There's a ton of decent used HF rigs out there that can get you on 10m SSB. The bands are pretty busy this time of the sunspot cycle, and there's a lot of fun to be had.
6 meters is an interesting band, but it's not a good band to get started. Activity is generally centered around band openings, and they're not an every day occurrence.
edit: While I was typing this, I re-read your original post. You're going for your general on your first try, so forget everything about the 10FM not being available. That said, I rarely hear any FM activity on 10, and NEVER on 6, and I live near Los Angeles. 10 is a great band, but get a rig that will do SSB. There's a ton of activity, and even on the sunspot minimum in a few years, there are enough openings to make it interesting.