At this stage, options are limited.
Traditional uplist
Name change, 2 years of audited financials, OTC profile approval, Transfer Agent appointed, pink current, then they would still need to meet the upper exchange criteria (PPS / assets / shareholders), go through the application process, and uplist. In its entirety, this would take around 5-6 months.
Direct listing
Coinbase was a confidential direct listing so we can use them as a guideline - their initial public S-1 / statement of registration was filed on the 25th February, went through a couple of revisions, and they did indeed produce a full prospectus even though they were not using the listing to raise capital. They received conditional NASDAQ approval on the 24th March and their S-1 was certified on the 2nd of April, the NASDAQ listing went live on the 13th. So the 'public' part of the process took just over 7 weeks.
So, even if Doc had filed confidentially several months ago, it would still take the best part of a couple of months from the point that the initial S-1 is made public, to going live on the upper exchange. Bear in mind, Coinbase was relatively straightforward, they were not merging other entities, absorbing other stocks, or partnering with outside companies - and their initial S-1 was still 850 pages.
Here's my greater concern: if Doc is seeking a direct uplist he has no need to file the documentation required by 30th June in order to get current/reporting on the OTC. Therefore, once we are beyond that date, a DL would be the only option - but if the direct listing is subsequently NOT approved / certified by NASDAQ and does NOT proceed, UNVC will be delisted from the OTC on September 28th.
That's a serious gamble, and a serious risk for shareholders.
