Yes. You fully resolve Frantic Search before Sniper's triggers go onto the stack. That means you discard *and* untap your lands before you even get a chance to pay for the triggers.
In this scenario, although the Ruthless Sniper triggered abilities go on the stack at the same time (C.R. 603.3, 603.3b) and you choose targets for each of those abilities at that time (C.R. 603.3d, 601.2c), you don't choose to pay 1 for each such ability until that ability resolves (C.R. 603.5). In general, a choice given on a triggered ability's effect, whether it's of the form "...you may pay..." or otherwise, is not made until that ability resolves (C.R. 603.5). See also this thread.
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