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Don't delete. It wrecks the discussion context for anyone reading later and looks kind of like someone's abandoning ship when things don't go their way. If you like, you can edit your first post to include a mention and link to the previous discussion and answer any questions that have come up there as well.
I think the problem would be that the results from pushing the $1.99 price will be dramatic in terms of sudden boost, but won't be useful for demonstrating lasting effect for which you could argue permanently lowered pricing, which appears to be the point of your experiment in the first place.
As for the $4.99 vs $10.99 idea, I picked that number because you stated that $4.99 was your ideal price.
Basically, now that you've gotten a promo push from sales of your book at the $1.99 level and your publisher's taking it back to $10.99, wait a couple of months for people to read it and reviews to start appearing and such.
Then when you think you've got good word of mouth going, see if you can get the publisher to drop the price to $4.99 for a month or two, with no more than maybe a simple announcement on both their and your websites. No going around from blog to blog pushing it as an experiment this time.
I think that should give you a reasonably decent baseline for "sales at $10.99 price after the book is promoted and known and read and talked about" and "sales at $4.99 price after the book is promoted and known and talked about and interested people have had a chance to get it at $10.99 under your publisher's 'reasonable price' hypothesis".
If your sales are even moderately better at $4.99 without the extra push of you/maybe your blog hosts promoting a special time-limited discount price everywhere you go than for the same preceding period length at $10.99 and they also drop down when it goes back to $10.99 again after, then you could very reasonably argue to your publisher that $4.99 is the "sweet spot" at which they'll get a sales boost from a customer-appealing price point without dropping into "deep-discount fire-sale" territory like $1.99 is (because you'll get an automatic boost in sales for anything, if the price is low enough, but the effect won't last and will eventually saturate the market audience).
Hope I've explained this well enough and good luck convincing your publisher!
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