They're a credible operator.

Does the operational company already exist and have income history?

.: That sounds very similar to how I operate.

Depending on the loan product, you may be able to exclude business debt once the business has paid the debt directly for 12 months.The income and losses related to the operation of the entity will affect the income side of your DTI (like Jay explained) if you own 25% or more of the entity.

If you want the furniture, just negotiate that and put it in the contract.Could you lease it from them for those 3 months and operate under their permit till yours is available?

It's easier to scale with multifamily properties due to income potential and operations.

If you are accredited, the best thing to do would be to invest 50k into a syndication and soak up all the knowledge of how it works from an experienced operator before you make the decision whether it's your plan.

Depends on the operating agreement and docs you signed.

While there could be avenues to acquire real estate creatively with less cash operating  real estate properly is capital intensive. 

Assuming a 40% expense ratio, the net operating income at the current income level would be around $19,440 annually and $28,800 after renovations.At a $360,000 asking price, the cap rate based on current NOI would be 5.4%, which is low for a park with park-owned homes and required renovations.