However, he has never paid principal, interest, or taken a deduction on the property (he lent his name and credit so I could purchase the property when I was younger).

There is no risk in establishing the HELOC (assuming you one can be responsible with such a thing) - its a line of credit, not a loan.

Most credit card members can borrow against their card up to $25K.

If you have your tenants paying heat you should mandate it be with your vendor of choice so the same tank can remain in place.The fuel provider will also very likely run a credit check on the tenant so be prepared for that. 

I am connected with several lenders that do small loan amounts nationwide, as well as large lines of credit, assuming that the home is an investment and not personal use.

Also, it should be easy to find hard money, and maybe even a credit union that will lend if they could be in first position.That's all I can think of right now.

As well as for financing, as worst case scenario I have a large line of credit as well as a few private sources I can use to get it financed.Is that for everyone?

If you are relying on this house to purchase next one, I would suggest taking out a Line of credit on this house to purchase next hour  and renting this house for the 1031 exchange. 

If you got $50,000 in credit cards at 0% interest for 12 months.

lets see no money down interest only... well that was a go to product in 04 to 06 it was called pic a payment.you get get neg am or interest only or fully amortized you picked the payment. you could do no doc just needed decent credit.. first and second  etc etc.. those loans no longer exist and for very good reason.