Looking for advice on how to handle a 3-4 yr relocation

I have received a pretty significant promotion that requires a relocation. The job is not in the most desirable area and the position comes with a soft promise to find me a position where I'm currently based or a similarly desirable location after a few years.

My wife and I own a 2500 sq ft, 4 br 2.5 bath in a MCOL area valued at appx 520k, with 220k on the mortgage @ 2.8%. The typical mortgage payment is about 1700/mo.

I am trying to decide what the best way to handle this relocation is. I should be selling my house or attempting to rent it out?

The things that are weighing on my mind:

We don't have 60-100k set aside for a down payment at this time, and we would probably be looking at a house value somewhere between 350k-500k in the new area.
We don't know for sure that we want to move back to our current area/house in a few years.
We don't really know how much we could expect to rent the house for
The company has a pretty generous relo policy that will cover closing costs on the sale of the house, but if I don't sell now I obviously won't be able to realize those savings
I have no idea where I should expect our existing house value to move over the next few years.

I would really appreciate any advice on how to best evaluate this decision, and can provide more information for the discussion if needed. Thank you, all.