I kind or employ the MacGyver style of beekeeping. I have never had or used a bee tool box. I have shown up at bee hives with no hive tool. Using a screw drivers, paint scrapers, table knives, teaspoons, needle nose pliers, I have even used pieces of sticks to pry and break the propolis to remove frames. smoker fuel is whatever i have with me of is laying on the ground in the vicinity of the hive, pine combs, pine needles, grass, hay, sticks and twigs, bark, wood chips, cardboard, horse nuggets, rotten wood, what ever will burn. and I have used propane, oxyacetylene, torches to car cigaret lighters to light my smokers. I have used cardboard rolled up to smoke the bees when I have been with out a smoker with me.
I have never used are or had the urge to use frame rests have away rested frames against the hive. I have only ever wore gloves about 3 times in my life while working bees and had discarded them before the inspection was completed. Never used a frame grip as working bees with out gloves it is easier to grab and lift the frames. I have never used a queen clip or even own any, I do have some queen cages that I have gotten queen in and will use them to put a queen in if necessary. Bee brush can be anything from brushing the bees off with the back of my hand, to grass, thin cardboard, paint brushes, blowing, smoking, shaking, or bouncing the bees off frames and out of supers. Bee suit and veils are a non issue as I have not worn one in the past 8 years and it was 6 years before then.
Being prepared is the best approach when working your bees, but just because you don't have every thing on hand doesn't mean you can't work the hive and bees. You can always improvise and use what is available to you. I have brought a few swarms home in a cardboard box with the lid just folded down and a few bees escaping and flying to the windows of the SUV.
