I'd suggest using 240V elements with a power controller and switches, unless you are doing a small (2.5 gal or smaller) batch size system.
You can use a spa panel with GFCI breaker to provide 240V protection and a four wire output allowing two 120V circuits to be used after that point - there are many diagrams around here, although a lot of the links to images seem to be dead.
This one seems to still work:
https://www.homebrewtalk.com/showthread.php?t=266751&page=5
The second post on this thread gives a pretty fair overview of the pros and cons, I think, and you should read it first before going this route.
https://www.homebrewtalk.com/showthread.php?t=372667
The "best" long-term cost-no-barrier option is to get a four wire run to the dryer socket installed. Then you can either go to a GFCI breaker in the main panel or in a spa panel. It may be worth checking that you don't already have 4 wires to the outlet, with the ground disconnected inside the outlet box (hey, there's a chance...). Then four wire is just a change of outlet.
Personally I run my kettle off a simple 240V power controller box with a GFCI breaker in the main panel, and run my pumps and RIMS tube off a separate 120V GFCI circuit, even with four wires to the dryer outlet. This is because I use the pump and RIMS controller in a separate water bath system for cheesemaking (could also be used for sous-vide I guess), and because the GFCI breaker for my particular panel (BR type) was as cheap as a spa panel.