HDHPs also usually cover preventive services like routine physicals at 100% (forgot whether it's required). It really is quite attractive for young, healthy individuals as it gives you the catastrophic coverage protection, and also gives you the opportunity to actually save some money for future expenses while you're healthy.
OP - I'm not too familiar with the individual marketplace, but based on the amount you're contributing on your employer's plan, my guess is that you can't get decent coverage on your own for that money. You can certainly re-evaluate your options again if your employer decides to significantly increase your costs over the next few years.