The number of properties is not what is critical (although there are some requirements in the identification process that can limit you).  

But that is easily overcome.Once you start each exchange, each will have it's own calendar for identification and completion but there is no reason why you cannot schedule your closings such that you could easily combine the two exchanges into one purchase.Example - If you sell each side for $150K you would need to purchase 150K to complete each exchange.  

@Michael Kugler why not use Realist, Parcelquest, etc. to get copies of the property records, contact the owners, and if the owners are interested, have them send you identification, such as driver's license, passport or some other form of government ID? 

Originally posted by @Rocky V.:In

I sold another property and chose to pay the tax instead of dealing with the 1031 rules and another property that I wouldn't have sought other than for the tax avoidance of the previous property.The stress of the 45 day identification period is certainly a downside.

But they do put limits on how big your identification list can be. 

The identification must be in writing, signed by you and delivered to a person involved in the exchange like the seller of the replacement property or the qualified intermediary.

Resident understands that Management’s insurance does not cover Resident’s belongings from losses not caused by Management’s negligence and Management encourages Resident to obtain an all-risk policy in addition to marking all valuables for “Operation Identification”.

Should I have anything specific besides the VIN ready when I go to make this happen?

There are property managers that require a US issued photo ID, others don't care as long as they provide a form of identification (Ex: passport from their country) and prove their income.