This type of question gets asked more frequently on this forum, and there might be an answer in the archives, some very recently.
Have you considered looking for some form of advice from PCW/Currys who have a fair range of demonstrator's on display. You can always come back here, and provide any information to what they might suggest.
Recently I purchased a Levono G700 laptop from Argos, that might be suitable for entry or higher level gaming. Perhaps someone familar with gaming, will have the answer to that question. When I purchased this machine, it was at a far reduced price, and I notice on checking today, the price seems to have increased. Argos laptop range click here