I believe you are wrong in some parts of this sentence but I will not fill the post with corrections.
About the request from S-F! Maybe not all the suggestions given below fits the budget, but you will get what you pay for!
Do you want direct access to any mode (low, turbo and strobe)? Probably the best light for you would be the Olight M2T or the Olight M2R.
If you want a light with direct access to turbo and strobe? Take a look to some Klarus flashlights! I use Klarus XT1C everyday!
If you want a light with configurable number of modes, maybe the Mateminco X6S. You can set it to 2 modes or just one mode and longer presses from ON to take you to 4 or 5 blinky modes (including battery level indication).
If you want other type of flashlight that has different types of modes with more modes but with with direct access to low mode, medium modes, Momentary turbo and strobe, take a look at the RovyVon E300s.