It will be tough to find a HML who can fund the deal fast enough for an auction property.
Auctions typically require full payment, in cash, within 24 hours of the end of the auction.
You would need to get pre-approved with a HML and have the funds already available.
Otherwise you could find a private money lender or partner to take on the deal as well.
Do you have another property with that kind of equity? If so you could hard money finance that property use the cash to purchase new property (refinance and repay hard money)