Sky are lying. BT do not throttle the connection, Sky do. You are far from alone in regarding it as terrible.
Your main problem is going to be the cost of my proposed solution, and whether you are happy for the phone line to be taken away from BT. (Full LLU not Partial LLU).
TalkTalk itself would not be a good idea as they too hate P2P and throttle it to death.
Although TT is not a runner, Opal Wholesale, which is the TT-owned service underlying it, should give you what you want.
The two resellers of Opal Wholesale I can recommend are xilo/uno
, who you have to contact as it isn't on their website yet, and vivaciti
where it is the Broadband Complete
package, shown as Surfwise Complete in the slightly confusing price list
If you don't fancy that idea look at the Family packages from vivaciti, or perhaps the Office ones immediately below them on the price list which should perform slightly better in the daytime and have different peak/off-peak times.
My broadband basic info/help site - www.robertos.me.uk
My domains,website and mail hosting - Tsohost
. Internet connection -