I think this is tight but workable. I think you have to pick a hotel outside of tourist areas for better price. I do not have a lot of info about such hotels because most company guests whose visits I have coordinated have more relaxed budgets. I’ll try to find some info tonight.
Here is a most popular site for restaurants: https://www.openrice.com/english/restaurant/index.htm
If you know Chinese, the site is even more informative when you click the “中文” version.
If you plan to do hiking in HK, it is better to come after late November and before April. HK is quite hot and humid in other months, unless you are already accustomed to such climates.
There are many great and easy to access trails. Some are more difficult, some are easier. You can get some ideas in this government site:
As for public transport:
Hope this help.
