Your amiga is spec'd OK for it, but it'll be kinda cramped. Some of the TCP/IP software I've seen is too tall for 640x200. Might not be an issue for you since you cant run 3.9. Not sure what your options are for getting TCP/IP today are. I did it for awhile tho (OS3.9).. Wasn't impressed by it, but I primarily was playing old games. I'm running (Well will be running once i get it fixed) BlizzarPPC with BVision (up to 1600x1200 at 24bit) now, so it's a lot better. Browser still has limits though. IBrowse and AWeb are both actively updated. They do HTML and JavaScript (mostly), but no CSS, Flash, Java, etc. Many sites work, but still plenty of them don't as well. If they're just HTML and Pics, they look identical to the PC.
Thanks,
Neofree