There are a few elements to staying warm in a survival/homelessness situation:
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Avoiding evaporation
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Stopping airflow
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Generating heat
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Trapping heat
Evaporation kills attempts at staying warm. Things need to be dry or you're just swimming upstream constantly. Spare layers of clothes help as do waterproof layers.
If you have a team and some resources, this method to produce waterproof tarps is ideal. You can use this as a shelter, as a cloak, or as an outer layer for bedding.
Stopping airflow is tricky and it's very contextual. Layering up clothing is a big factor here.
Generating heat is rightly emphasised but I think it's somewhat overemphasised. Unless you have taken efforts especially to prevent things getting wet and thus evaporating and to mitigate drafts, generating heat can require a ton of resources. Bodies themselves generate a significant amount of heat and ideally you want to trap this as your primary heat source since it's just the cost of doing business for mammals. You can get fairly cheap yoga mat-like material that has a layer of foil (I'm guessing it must be Mylar) and this is going to go a long ways to reflecting the radiant heat that is generated back to your body rather than allowing it to be absorbed by the ground. Emergency blankets are also really good at doing a similar thing, although they aren't very durable.
Trapping heat is what tends to get overlooked. There's the reflection of heat, as described above, but developing ways to store heat is an important consideration. Unfortunately materials that work as heat batteries are heavy and bulky. One exception to this rule is stuff that relies on a chemical reaction like sodium acetate, although I'm no materials scientist so hopefully a person who actually paid attention in high school chemistry and physics will chime in here.
a rocket stove type design
Don't take this personally because it's not aimed at you but rocket stoves are so fetishised by certain groups that it drives me to distraction. There are certain design principles necessary for a rocket stove to be a rocket stove and most of what you find being referred to as a rocket stove is just something that is a J-tube.
Honestly I don't think that a true rocket stove is the right option for people who are homeless because they require a significant amount of space and they are heavier than an alternative like a wood gasifier stove that almost certainly archives an equivalenly efficient burn in less time as it doesn't require the burn chamber to reach a high enough temperature in order to achieve recombustion. A wood gasifier stove isn't bound to the same design principles that require a rocket stove riser to be rather high and as they do not require insulation, they are much easier to disassemble and pack down vs a rocket stove.
Don't be an asshole about it with people who are trying to do good work but the next time you see someone touting a rocket stove ask them about the ratio between the diameter of the burn chamber and the length of the riser or what they are using as the insulation and you're going to get blank stares like 75% of the time. This is bad news because a poorly designed "rocket" stove burns inefficiently and the riser will develop a creosote buildup that will become a fire risk over time, all other considerations aside. You also see people wrapping heat exchanges around the burn chamber of rocket stoves which further reduces the efficiency of a "rocket stove" in the most infuriating way - it's like driving while your parking brake is on.