I did just send emails (I'm applying to regional chambers only, and if I don't get a reponse, I'll just write, and then the final stage is actually walking in and demanding a work placement
)
I can't see how they would view it in any way as a bad thing. If anything, it should be good, "I know how busy you will be, hence my early application."
I did, but only on my CV, I didn't want it sound like I was bragging or anything. I was going to put it in huge font, underlined, in bright red, but I toned it down a notch
I think if you wanted to state something about it in the text of your cover sheet (which in hindsight, I perhaps should have done (and will do next time)) it'd be best saying something like: "the role of a barrister is obviously very demanding and competition for places is competitive, I feel however that I would be able to cope with the demands of the role well, demonstrated by an offer to read Law at "X."
Don't know if it actually flows too well, but it doesn't sound as... crass?