Our startup is profitable, scaling, and in the single-digit millions of revenue per year. We don't have any investors but are still capital constrained. The default YC valuation of $125k/0.07 = ~$1.8M is way too low for us, nor do we want the requirement of having to meet with other startups once a week since we're already quite busy. Does YC have a "funding offering" for startups at our stage?
Your description sounds like you are beyond the accelerator/seed stage so the standard deal valuation and funding amount are too low. You also mention being too busy to take advantage of the networking opportunities provided by the program.
Being profitable but capital constrained, have you looked at debt financing opportunities? Do you need investors and a network or do you just need cash to accelerate growth?