I've managed to secure the loan for the new house without having to sell the old house first.

You have a bigger loan, but not a bigger tax basis.

Over the years, however, we’ve found that we end up coming down to Orlando quite a lot, especially in the last couple of years, and we end up staying in vacation rentals (Reunion, Championsgate, Storey Lake typically).I would love to simply pull equity from the current property but given that it’s a long term rental and we are Canadians, from what we understand it’s not an option for us.we love reunion but I feel that would probably not be the best for ROI.  

When you say you want to prioritize cash flow over equity, you want to watch out for people honing in on that and selling you "good cash flow" deals which will be in D neighborhoods and will come with high capital expenditures and harder tenancies.

Interest rates decreasing a little more will be necessary to make this possible, too (DSCR loan).Also I will have another deal refinanced by then and gain about $70,000 of capital from refinancing that.

Use tools like the VA loan for house hacking and your Basic Allowance for Housing (BAH) to cover living costs while building equity.

Think of this;  if the buyer can't qualify for a bank loan,,,, why the heck should you stick your head into a note and mortgate noose??   

Total profit less closing costs and commissions will be about 42,500 each or 85k total.I would for sure get a construction loan, may be worth approaching 2 or 3 different banks and getting separate construction loans from different banks. 

Both properties have a substantial amount of equity that’s essentially sitting idle.Would it be a good idea to tap into this equity (through a HELOC, cash-out refinance, etc.) to fund future fix-and-flip projects or purchase additional rental properties?

I'd recommend a HELOC for your situation, especially since there is already good equity in the project.