The policy is not being difficult, it is just older than the need
Most corporate travel policies were written for a world of individual trips: one traveller, a few nights, a per-night cap and a hotel folio at the end. They handle that case very well. They have no category at all for four people sharing a house for six weeks.
So the request gets rejected not because anyone objects to it, but because there is no field to put it in. Understanding that changes how you ask. You are not arguing that the policy is wrong, you are telling approvers which existing category the expense belongs in.
Convert the cost before you ask, not after
The single most common reason these requests stall is that they are submitted in the wrong unit. A whole house is priced per property, per period. A travel policy is written per person, per night. If you submit a property cost against a per-night cap, it will look enormous and get bounced.
Do the arithmetic before you file: total property cost for the period, divided by the number of travellers, divided by the number of nights. That single number is what an approver can compare with their cap. In our experience this is where most approvals are actually won or lost, and it takes about five minutes.
Anticipate the three questions finance will ask
The first is whether the expense can be documented. In Mexico that means a CFDI, the Mexican tax invoice, issued with the tax details of whoever is deducting the expense. We issue them. Say so in the request, because it is the question that usually decides the outcome.
The second is whether this is lodging or a lease, since those are different categories with different approval paths and often different signatories. A lodging stay with an invoice is not a lease. The third is what happens if the project dates move, which is worth answering in the request rather than waiting to be asked.
Name the non-financial reasons too
Cost is rarely the only argument, and on short stays it may not even be the strongest one. A crew under one roof coordinates its own departures, parks its own vehicles, and starts the day together instead of assembling in a hotel lobby. A team with a kitchen does not expense thirty days of restaurant meals.
These are operational arguments and approvers respond to them, particularly on a project where a delayed start costs more than the entire lodging line. Put them in writing alongside the number, not instead of it.
When you should not fight the policy
If one person is travelling for three nights, use the hotel. If the traveller needs daily housekeeping and a front desk, use the hotel. If the exception process at your company takes longer than the notice you have before the trip, use the hotel and plan properly for the next phase.
We would rather say that plainly than help you win an exception you did not need. Our case is strongest for teams of two or more, for stays measured in weeks or months, and where a kitchen, a washer, parking and a single invoice actually change how the assignment runs. If that is your situation, send the dates, the headcount and the tax details of whoever will receive the invoice, and we will send back what you need to file the request.