I think you're somewhat missing the point. You're still approaching it from a hopeful-salesperson perspective.
What you need to do is approach it from the perspective of someone who was just done a significantly valuable thing for that client (potential client), and you're now calling them to let them know what a nice person you've been, by way of what you've already done.
As for the 'cold calling method having a high conversion rate', you need to be clear - it's not cold calling. It's a call to tell them the good news. Very, very different. If you're not clear on that when you pick up the phone, you won't even be able to convert food to shit.
Get your templates from wherever you like, and design them however you like. It's totally and utterly irrelevant.
People who think that selling web design is about the design fundamentally miss the point. It's sales, like anything else. And if you've ALREADY DONE THEIR WEBSITE, and it's even remotely good, your chances of converting are at least 10,000 times higher than the guy that cold-calls and says "hi, I design awesome sites, look at my portfolio".
As for the final part of your question, RE the pricing; it's entirely up to you what you sell it at. There are no rules. Don't ask me. I don't have a list of rules for you to follow. Go out there and do something - make it up as you go!
However, if you ask me what we used to do, I would tell you that the initial price would be any random amount between $600-$1500, depending on how profitable their industry typically was. Then, those who didn't convert at the first instance would get a call back near the end of the month saying "hey Bob, it's Jim - the guy that made you a new website. Look... it's been a really slow month, I need to get some money in the door... if you liked the website I made for you, and it's just a financial thing, make me an offer that's anywhere near reasonable, and I'll say yes on the spot". That converted a significant amount, and the offers would usually average in the $300 range (with some outliers, of course).
By throwing in the 'if you liked the website, make me an offer' premise, you're implying that they will insult you if they don't make you an offer, and no reasonable person wants to insult someone who just poured their sweat into building them a pretty cool website, FOR FREE. Nor do they want to insult you by offering you $20.