We also had a Pentium 75 MHz IIRC, but IIRC it came with 8 MB RAM. It came with OS/2 Warp. Running DOS on top of it was too limited, performance wise. Running MSDOS directly however, was amazing. The machine would run all the software I wanted. Apps and games. It also ran Windows 95, but the learning curve and speed. I was used to MSDOS.

OS/2 Warp was at the same level as running Windows NT in hardware requirements.

When I bought my 386SX 20 Mhz with 2MB, 40 MB HDD, that came with DR-DOS 5 and Windows 3.1, I could have bought a PC with OS/2 2.0 instead, in today's money that would have bumped my credit request in an additional 1000 euros, for the additional hardware.

So DR-DOS + Win 3.1 it was.

Unfortunately I think just the SSL stack to support a TLS connection would saturate that now

Depends on how much browsing one is planning to do, which is why I focused on the TUI and CLI as examples on my comment.

Even if it is SSH to some cloud server it might be ok.

We lost quite a bit moving away from Internet protocols into everything is HTTP(S).