The keyboard cares only that it receives DC 12V. It does not care whether the power supply is a switcher or linear.
Whatever type you get, it is essential that the plug be the right size and type. Have the old one with you, to check whether the new one matches. There are more than one size and type of power plug.
3.5A is substantial. You might find the power supply you need at a musical instrument store, office supplies, Radio Shack, automotive store, etc.
Even if you can't buy one, an automobile battery is 12V (give or take). You can attach clips, solder on a power plug, and the crisis is met. A big battery supplies extremely smooth DC.
It's a good idea if you can monitor the voltage. Start charging it if it drops below 11.5 V or so. The charger will probably cause buzzing from the musical instrument, so don't charge during the performance.
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I see KlausST was a step ahead of me. I agree with his post.