Only BT Wholesale available there. You aren't going to get any higher
connection speed than you do now. Unless you have ongoing line or setup problems.
If you can find and post your router stats we can see from those.
See here for help.
At that price I think you could find
Plusnet Value would give more reliable evening speeds. However it would be the full £11.99 at that exchange. Currently three months free though, and possibly £50 cashback through Quidco.
The drawback is their
traffic management. Whether that matters depends on what type of usage you have, but at under 10GB per month it's possible it won't affect you much.
Better but more expensive you have
Newnet Home M. The "no traffic shaping or speed restrictions" is true, and there is a short unlimited overnight period. Trouble is they also count upload.
About the same price as Newnet there is
IDNet Home Lite. Don't count upload and absolutely top class.
Plusnet is actually a monthly contract on 10 days notice. If you leave in the first 12 months you have to pay for the setup and router (if you took it) if you didn't pay at the start. After 12 months those charges lapse.
Newnet and IDNet are monthly, though Newnet has a 12-month option on the same package a bit cheaper, as you can see on the page I linked. On both, depending on the time-pattern of your 10GB maybe you could manage on the next package down?
See
these comparisons. Though remember those are subjective assessments.
In fairness to RandomJointer I perhaps went a bit over the top in my first post, but I think he is being optimistic. They may only throttle P2P, but I believe they still get congestion in exactly the way you are doing now.
Also you will see the sample sizes in those stats can be small, but in my opinion that won't affect the ratio of good assessments to bad ones on any.
Importantly BT is a 12-month contract, and what price were you looking at?
My broadband basic info/help site - www.robertos.me.uk
My domains,website and mail hosting - Tsohost.
Internet connection - O2 Standard.