If I were to purchase an Airstream to use as lodging while I travel across the US to my rental properties, make repairs, and perform lease turnovers, would I be able to not only deduct fuel and campground costs but also depreciate the purchase price across 5 years? 

I suggest your next lease have such a clause and that you make sure you can find the lease (but i have also somehow lost a lease recently).For where you are now, without a signed copy of lease i believe your options are limited.  

Since the property has vacancies, a buyer might discount for lease-up risk, so that’s something to factor in.I owned a multi-use property in IL that is definitely different than what you're looking at.

Here’s a breakdown of some of the information you may need to provide for a cost segregation study.For existing buildings:List of equipment on the propertyProperty settlement stateAny appraisals or purchase/lease agreements Property maps or blueprintsSchedules, change orders or documents for future renovation plansSupporting documents for calculating real property book valuePrevious purchase price allocations that separated assets into their appropriate allocation and valuePast site inspections and photographsDocumentation that proves or records deterioration of assetsFor new construction:Contracts or contract paymentsLand and property sizeBlueprints of projectList of equipment involved or purchasedList of projected costs including costs for land developmentApplicable site inspectionsConstruction schedules and payment requestsPhotographs of completed assets or work in progressCost segregation specialists typically have an organized plan for the collection and analysis of the information provided.

Our lease break fee is 2 months of rent.

In Texas, as a licensed agent, you’re generally required to use TREC-approved forms for real estate transactions unless an exception applies, like (I believe) leases longer than 1 year or where no TREC form exists.

This is not the utility company's responsibility.Your lease should state the tenant is responsible for maintaining utilities.

Additionally, it's easy for a house on one lease to get absolutely trashed by the renter.

Thank you again for your response and insight.I have most luck utilizing the local MLS for minimum 6 month leases under furnished rentals  

It's really your choice if you want to select a home that has already been leased prior to closing or not.