I will try and condense them down to make sense and answer all your question. 

New furnace good for 15 years.Contractor recommends 80% (for a rental) because of maintenance issues with extra venting and water condensation that needs to be removed.

I might install the coil and wait to install the condenser for a later date.

If you do not include refrigerators, you could bring this budget down some.HVAC: $7,000 - For 2 full new systems (furnace, coil and condenser), this is too low.

Without completing all of the above, you’d be looking at significant condensation leading to a mold concern, stains on your ceiling, replacing ceiling and ceiling insulation within a few years.

Write the strategy(s) out on paper before going to steps 2 & 3 and try to condense and simplify the explanations of the strategy(s) as much as possible, 3-4 steps, focusing on the questions of "How is this creating value/cashflow?"

This condenses the loan costs and leaves you with one loan to pay.

The HVAC unit can be in the attic, or basement and AC condenser outside. 

I am thinking about just having the condenser removed and stored in the house until I arrive?

I've had a good experience with them; they've paid for a couple issues that they missed when they turned the property over to me.Late last week I got an email from the maintenance manager at my property management company where the tenant had called because they were having trouble keeping the house cool (68-70 degrees) and it was also causing condensation to form on the ceiling and peel some of the paint and apparently also get into the light fixture.