My little generic remotes are attached to each of my camera straps. So that way I always have one in a pinch. I use a generic wire release most of the time.
I just got a Flashpoint Wireless Wave Commander Remote Shutter Release- Nikon MC-DC2 Acc Port from Adorama for 49.95. It is a 2.4 ghz that can be programmed. Up to 99 shots at a time. Vello for a Nikon is more expensive. Just saying.
Per OP, "Need recommendations for a remote for my Nikon D3300."
3400?
Per your site, "Compatible with the following Nikon cameras: D3000, D3200, D3300, P6000, P7000, D40, D40x, D50, D5000, D5100, D5200, D5300, D60, D70, D7000, D70s, D750, D80, and D90."