You're best option would be to rent a lens better suited than the ones you own, unless you want to do long focal length imaging of a target like the andromeda galaxy and hope to get lucky. When it comes to meteor photography aperture is truly critical, you can get away with a f2.8 lens for some Milky Way imaging, but meteors last but for a fraction of a second and if you don't have a large aperture/light collecting area you won't hope to catch many. Last year I shot 2 camera setups, one was my Nikon D600 with a Rokinon 24mm f1.4 lens and the other was my D7000 with the Tokina 11-16mm f2.8, I ran both cameras continuously for roughly 5 hours straight. I took pretty equal exposures with both, roughly 20 seconds at ISO 1600 and wide open apertures. With the D600 and Rokinon lens I captured about 100-110 meteors in my shots, with the D7000 and Tokina (at 16mm to increase the clear aperture area/light collecting ability) I captured about 15-20. This is the final shot I put together from last year, an absolutely ridiculous amount of editing went into it just to get all the meteors in one shot (click below the image on the link to pull up the full resolution shot for better image quality, POTN compresses the crap out of images displayed here). Not sure I want to go through it all again this year, might just do mid-focal length stuff and try to get lucky with a fireball or something. IMAGE LINK: https://flic.kr/p/KWtiWb Moosehorn Lake Perseid Meteor Shower
, on Flickr
I recommend finding a lens you can rent for a night or two, something with an f1.4 aperture like the Rokinon 24mm f1.4, it'll increase your chances of capturing meteors at least 5 fold.