I don't find a model SDGG2606AWW, but I do find SDG2606AWW.

Gas dryers are outside my experience, but a non-heat situation when the unit still otherwise runs probably is related to the gas burner. Could be a bad igniter, flame sensor, or gas valve. There are two different burner assemblies for this model, depending on whether the unit in question is Series 16 or not. Parts are available for both types.

Dryers are much more mechanically simple than washers, although gas models are a little more complex than electric. I would have it repaired.

Most likely the issue will be the glow bar igniter or a gas valve coil. Both are easy for the tech to repair.

My bad, I meant to type model SDG2606AWW.

However, now that I think about it, I wonder if the dryer had already been having issues that I didn't notice. I purchased a matching washer and dryer years ago, and the washer broke down a year ago.

So, I got one of those high efficiency washers to replace it but I never noticed any reduction in drying time with the dryer. It still took more than 1 cycle to dry those clothes.

Is that a sign that it could be something more serious and complicated than a glow bar igniter or gas valve coil?

Would you recommend getting a repairman from Maytag take a look at it, or can any handyman fix something like that?

Check with someone on www.automaticwasher.org to see if someone has a solution to your problem.