First, preserve what you have.
The tarp on my roof was something the FEMA adjuster mentioned. When you apply for FEMA assistance the website encourages you to take steps to mitigate damage. The adjuster told me some people thought they should just wait for a check before taking steps to protect their possessions. They were disappointed. The insurance adjusters I spoke to wouldn't take your information until they warned you to do the same.
A tarp as a shelter may be needed when hiking or traveling in the wild, but the skills to protect your property from further damage is also an imperative.
You may not always need to erect a lean to or a tepee on the go. It is good to know how, but since you have these skills, you can build on them and use them when you need.
One of neighbors lost his shed. It just blew away leaving the equipment from his roofing business exposed to the elements and thieves. Without being able to speak Portuguese I was able to offer several small tarps that he used to cover his property. Another neighbor donated some two by fours to make a frame. It looked like a squared off lean to, but it served its purpose until his shed was found and he bought tie downs to keep it from ever blowing away again.
If you are in dire straits waiting for an insurance check or other assistance, you may need to build on your building skills to provide shelter for yourself and family until help arrives. The basic lean to is good for a night or two but needs to be fortified for longer dwelling.
Lashings can be made sturdier if you apply wrappings of cloth strips to the joints and pack them with cement. We are still using grade school skills you learned when you tried decoupage in art class! You are just now using cement instead of white glue.
Build on your basic building skills. The Western pioneers lived for years in dug out homes made in the hills. They also lived in the sod house, cut from the land. Both of these could be accomplished with lashing skills and very few nails as they were expensive and scarce.