Mid-1900s Level Technology
...this race develops tech inspired by the remains of a highly advanced precursor race that is long dead ...
While such a small population may never get all that advanced on thier own, once you cut out the pressure of RnD, and only consider logistical limitations, you can actually get pretty far.
There are a number of modern machines that are small and cheap enough to be owned and operated by an individual household that came during or after the Industrial Revolution that could significantly improve a Cottage Industry. All of the tools (except for the microprocessors) in a small modern machine shop can be made in a small modern machine shop by an expert craftsman. This includes metal lathes, mills, injection molds, pumps, compressors, gauges, looms, sewing machines, various printing machines and paper mills, various chemical processing equipment, precision kilns and smelters, etc.
As for materials: aluminum and titanium smelting can be done at a small enough scale to fit in a family run house-hold attached business IF you have a modern power infrastructure to feed it. The chemicals and machines needed are actually pretty easy for a very small number of chemists and machinists to set up, it's the power that is the hard part, but since that part is industrialized, you should be good for making aluminum and titanium alloys. The more problematic metals will be the rare earth metals used in modern electronics. While Titanium and Aluminum take more power and chemistry to extract than Iron, thier complexity is nothing like Neodymium, Scandium, or Dysprosium which can take thousands of passes of refining to get those few parts per million of useful stuff out of their ore.
The other significant material limitation you will face is modern polymers. I once looked up the manufacturing process for Kevlar and found that it took dozens of separate refining processes and a number of fairly complex pieces of equipment to get from raw materials to plastic. This may still be doable by a small number of chemists working on different parts of the production chain, but plastics won't be the cheap alternative to wood and metal that they are today.
The one thing you absolutely can't make is computers... at least nothing nearly as powerful as we have today. The equipment required is simply too sensitive, complex, and precise to be done by some guy in his garage, and as previously mentioned, you can't even refine a lot of the needed rare earth metals. This however, does not mean that you can't make more simple electronics. Simple household businesses could make all of the components you'd expect to find in a minicomputer or other pre-microprocessor electronics. In fact, up until the late 1900s quite a large number of the electronic devices you'd buy were first prototyped in people's homes.
No Central Industrialization also means no Planned Obsolescence
Many modern industries can only stay in business by making products designed to break easily and be hard to repair. Industrialization does not just help us produce everything we need, but it actually produces WAY more than we could ever consume, meaning you could still enjoy a lot of modern luxury at affordable rates even with a much less efficient production chain.
Modernish vehicles like cars, trucks, planes, barges, etc. will exist, but without centralized industry, they will be a bit different. Industrialized automotive factories for example can't build cars to last more than 10-20 years even though they know how to make cars that could last 100, and then they fill them up with tons of expensive niceties that break easily or add luxuries that were not in last year's model to encourage people to buy cars who already have cars.
Without industrialized factories you will see far more utilitarian vehicles and machines made. So, while a basic household car may be more expensive and not nearly as fast, powerful, quite, or comfortable as a comparable modern car, they could still become ubiquitous over time as you will see a lot more people driving around in thier old father's or grandfather's vehicles. Overtime, the same people who hand make cars will get most of thier business from keeping cars working than making new ones.
Most Mid-1900s household items will also still exist. Air conditioning, heating, refrigeration, radios, microwaves, gas/electric stoves, lightbulbs, etc. will all be available. Again many of these will be much more expensive than they are today, but last a whole lot longer. For example, a hand made incandescent lightbulb can last for over 100 years, when you don't have industrialization forcing planned obsolescence like the Phoebus Cartel which engineered the life expectancy of a lightbulb to only 1000 hours; so, even if a hand blown lightbulb is a 100\$ commodity, the cost is easy to bare when your 30 year old home still has most of its original lights.