I think its pretty much business as usual around here. For contractors anyway.
Guys that are doing remodels maybe slowed down. Unless the customers can sort of move out. Guys that do replacement windows, kitchen and bath upgrades. They do not want to be in a house full of people, any more than the people do not want a kitchen unusable or others coming in everyday.
It sounds like you do not have to finance any of it, so that part could be good. Do you already have plans and drawing ready to go?
I would not be surprised if you may not have a few issues though. Some come to mind.
The permits and inspections would be one. Most municipalities are running skeleton crews. It may take longer to get any of that going.
Even though you have the funds, can you get it when you need it. I know my bank has great drive thru service right now, but if you need to go in for any reason it is appointment basis.
Would contractors take a personnel check? If you need cash, or a guaranteed form of payment like a cashiers check, you may not get that timely. Say the guy digging the basement calls today he can start tomorrow and be done in two days. But you can not get inside the bank for three days.
I do not think builders have slowed around here. I would think getting the basic materials would not be a problem. Concrete, framing, drywall and such. The finish products maybe something different.
Not knowing the plans, but anything outside of off the shelf type stuff may be hard to get. Stuff like custom made cabinets, certain colors of shingles or paint, plumbing and lighting fixtures.
A cabinet maker may be closed or simply not doing installs. A shower head may not be a problem, but a shower rainfall type of ceiling might be. Front door that is basic, or is it surrounded in glass.
Not knowing how long any of this will last, and the fact that finishes will be the last things you will need. We maybe past this buy the time you need it. I suppose as long as you could get rough in specs, you would be good to go.
I would guess it would make a difference to me about where you are buying products for the home. A lumber yard would still be able to get you framing, and I would guess there is no problems with concrete and drywall. But if you are using a carpet or flooring guy, maybe the show room is closed. Buying lights and plumbing stuff for rough in may not be a problem, but are you using the boutique lighting and plumbing shops for fixtures.
I guess all in all. It really is not putting you in a bind if you have it saved to build. I think I would sort of make sure you could at least get it enclosed. Material that you want is available and guys can do it.