What are you considering instead of HP Anyware?

I'd start by separating workstation access from VDI. A tool that works well for connecting to an existing physical machine isn't necessarily a replacement for the whole VDI setup. That distinction should help narrow the shortlist before comparing products.

Parsec Teams is one option to evaluate for remote workstation access, including users overseas. Network disruptions can affect the experience, though, so test it over the actual connections your users rely on rather than just on a local network.

NICE DCV is another one to put on the shortlist. There's also an open source project called Teraguchi that may be worth investigating. Neither should be assumed to be a drop-in replacement without checking the features and setup you need.

There may not be a need to rush if your existing support runs until 2029. Check the dates that apply to your deployment, then use the time to test alternatives rather than committing to the first plausible replacement.

Splashtop is another candidate to check. Omnissa was also mentioned as a possibility, but the specific product wasn't identified, so that's not enough to say whether it would replace Anyware for your setup.