I have spent a lot of nights in shelter half tents. A lot. There are better options.

For a cheap, light, small tent, look at the Wentzel Starlight. Mine is 3.5 lbs, including the scrounged Tyvek groundsheet, and added-on vestibule made from a military poncho. It's a pain to crawl in and out of, but so are shelter half tents. Room for me at 6',1" and a good bit of my gear, and packs tiny. The Wentzel is around $35 from Campmor. Or you can buy mine for $25+shipping

For a stove, I prefer an alcohol stove made from a cat food can. My kitchen bag, including pot/lid, cup, stove, windscreen and reflector, 10 oz of alchohol, a bic lighter and 2x oatmeal pouches, 2x hot cocoa pouches, 2x teabags, 1x Ramen + salt & pepper, olive oil, weighs 1lb, 10 oz