Most HP laptops get overheating issues.
Now that may sound like a sweeping statement but all the people I have met who own HP do admit that many of them touch too high temperatures or there are fan issues, quite often.
Lemme see which one can fit your budget.
---------- Post added at 12:42 AM ---------- Previous post was at 12:29 AM ----------
I could find only one laptop available on Galaxy.com.pk that almost perfectly suits your game requirements and unfortunately it IS a Dell.
Dell Vostro D3550 Core i5. It's available for Rs. 63500 on Galaxy.
Not bad if it fulfills the requirements to play League of Legends for you, right?
Here are the specs:
Dell Vostro D3550 price in pakistan
I hope I managed to help.