Assuming ample money, resources, and support, height isn't a big deal (for solid state rockets).
From my experience as a part of a collegiate (liquid) rocket club, just getting to manufacturing is a major hurdle.
There's legal red tape, university specific red tape, insurance/liability, material sourcing, funding, manufacturing, testing etc.
Note that some of these steps may require specialized facilities/equipment, transport, etc. Outsourcing (e.g. manufacturing) trades off for added red tape. ITAR is fun.
This makes working towards great heights a slow process, and if something goes wrong during testing/launch it's a major set back.
From my experience as a part of a collegiate (liquid) rocket club, just getting to manufacturing is a major hurdle.
There's legal red tape, university specific red tape, insurance/liability, material sourcing, funding, manufacturing, testing etc.
Note that some of these steps may require specialized facilities/equipment, transport, etc. Outsourcing (e.g. manufacturing) trades off for added red tape. ITAR is fun.
This makes working towards great heights a slow process, and if something goes wrong during testing/launch it's a major set back.