I find that Pentel Energel ink dries quite a bit faster than other gel ink (Pilot and Uniball). But for glossy surfaces, consider Uni-ball Jetstream ink.
I've bought many of the ones they recommend as southpaw friendly. Those in particular seem to dry very quickly.
Depends your goal. Write finely and precisely? Don't hurt your hand?
I believe Uni-ball Jetstream ink pushes this Pareto frontier. It provides the low-fatigue, low-drag experience of water-based gel ink, but dries instantly and is waterproof like oil-based ballpoint ink.
I think that your writing has to evolve into the best answer, which is very fine tips so that the ink is limited enough to dry quickly. Initially, you're probably still pressing down on the page, so the fine tips feel scratchy, but eventually you can use 0.3mm with no problem.
Not sure which listed category of ink/pen would work best on those (besides a plain old, cheap Bic® pen, which works fine.)