I'm not a fly fisherman but I like the nets with the clear rubber treble hooks even stay free. Like this
http://www.cabelas.com/product/CABELAS-RUBBER-LANDING-NET/1733971.uts?productVariantId=3754191&WT.tsrc=PPC&WT.mc_id=GoogleProductAds&WT.z_mc_id1=03810803&rid=20&gclid=Cj0KEQiAh4fEBRCZhriIjLfArrQBEiQArzzDAUUBj8UV8zlPNg7dLjHRwrqAq0oSsGdTT6awZAVWuEMaAu9Z8P8HAQ&gclsrc=aw.ds
We get them here locally with aluminum handles

What was mentioned above is pretty good.

This was the first trout net i got. I keep it as a backup now, but it's still pretty good. Also, you're not breaking the bank.
http://www.cabelas.com/product/fishing/fly-fishing/fly-fishing-accessories/nets-wading-staffs-creels|/pc/104793480/c/104721480/sc/104339880/i/103892580/frabill-trout-nets/1313489.uts?destination=%2Fcatalog%2Fbrowse.cmd%3FN%3D1100462

http://www.pnwlandingnets.com/

This is a local company. They are very nice guys and they make real nice nets. Their bags are as hook resistant as I have seen.

OP doesn't want to break the bank. PNW nets look like they break the bank. Unless $150 or more is inexpensive for them?
https://www.ashlandflyshop.com/products/pacific-northwest-nets
http://fly-fishers-place.myshopify.com/products/pnw-landing-nets-small

I was thinking $300 is an expensive net. The PNW nets are reasonable compared to some.

To each his own...

walmart sells rubber cortland nets for $20. i've been using one for awhile with no complaints.

I have
A
Orvis wood 16" basket
Rising brookie net
Fishpond nomad net.

Fishpond stuff never really appealed to me for some reason but after going to Bozeman I noticed a lot of their stuff around and all the guides had them.

I picked up the nomad which is a 22" elongated basket with a mid length handle for $170 I think.

It does everything and is very light weight. The perfect length for reaching out to land fish and unlike the rising nets that I previously really liked this one floats(there is a new Rising brookie net at the bottom of the Gallatin somewhere south of Bozeman)

25 or so years ago I thought my $90 Brodin net was expensive.  Still have it, and its still got the old style cotton net.  
Probably time to upgrade, but I haven't fished much the past couple years.
I will make my own this time.