I've been researching Travel Medical Insurance, and I think it could be a good solution for the initial months, until the Ukrainian adults are able to get jobs which hopefully would include a decent employer provided health coverage.
As an example, I'm looking at this Patriot America Plus https://www.imglobal.com/img-insurance-plans/patriot_plus .
For pre-existing conditions, coverage is for : Acute Onset of Pre-Existing Conditions (Insured person must be under 70 years of age)
where "acute" is defined further as:
Should you experience a sudden and unexpected outbreak or recurrence of a pre-existing condition, this coverage provides necessary emergency care for any medical emergency that is life threatening or requires immediate medical treatment. Coverage is available for travelers under age 70, and maximum limits vary by plan and age.
In-network coverage is the United Healthcare (UHC) network, so pretty broad nationwide network of doctors and hosptials.
The policy can be purchased for any period of time from 5 days up to a year and is renewable up to 2 years. So that's plenty of time till either get them on employer provided care, or ACA.
For eligibility -
(5) on the Effective Date and on subsequent renewal dates, must have legally departed the Country of Residence and legally
entered the Destination Country
(6) not have established a permanent residency in the Destination Country
For I think this would work for U4U participants, since they would have left Ukraine and any 3rd country prior to legally entering the USA (condition 5) and they are parolees, not permanent residents in the US (condition 6)
Regarding cost, I priced out 4 months of coverage for the family of 4 we are sponsoring and it came to about $700 (you can play around with policy limits and deductibles to adjust the premium level). That's not bad at all, definitely something we could do. Assuming this isn't "junk" insurance. It seems legit, but hard to know.
Also, I recently found out that in Illinois the children will qualify for the state Allkids program, so apparently I only need to buy coverage for the adults. Other states may have similar programs.