This is incorrect. Some unaccredited investments are allowed, and above certain thresholds it just triggers onerous reporting requirements. It is not illegal to make unaccredited investments. It is illegal to market/promote to unaccredited investors however.
This is why syndicates exist. Not a problem at all. Edit: not the only reason why they exist :) but a major one. To explain a bit more: syndicates allow you to consolidate multiple investors (not necessarily acredited) in an investment vehicle that then owns a chunk of stock in the company.