Yeah gotta agree with Reed. I can only think of 2 uses for one: cleaning bedrock that last little bit or cleaning bedrock cracks. And with either of those choices it needs to be either shallow ground or very rich ground to make it worth it.
Now with that said, here's some smaller back pack dredges I have found:
Jobe 1.5 inch:
Jobe Retail Sales 1.5 inch suction dredge
2 inch dredge, looks portable:
Home
1 inch:
Dredge | DBDredge
1.5 inch:
Backpack Gold Dredge
A couple smaller backpack ones to choose from here, 1.5 and 2 inch:
Dredges @ ProspectorsPlus.com
A cheap 3 inch portable dredge that uses a very small motor:
http://www.poboydredge.com/
I believe you need at least 35gpm to make a 1 inch dredge work, at least 52 gpm to make a 1 1/2 inch dredge work, 75+gpm for a 2 inch and 160+ for a 3 inch. Several of the above dredges are running with those size or similar size pumps (but that doesn't leave a lot of wiggle room for improvement which is bad!).
Keep in mind that power jets require less gpm and suction nozzles require more. Also the pressure of the pump is important as well, the more you have the less gpm you need up to the cut off points. Other things to consider include the max depth you are dredging, how high you are pumping the material up to the sluice, your elevation (higher elevation means less pumping power in the engine), and to make sure your pumps water intake is as short as possible and unobstructed. You will also have higher frictional losses with lay flat then a smooth bore harder suction hose ( especially on sharp turns where the lay flat kinks slightly). But lay flat is easier to pack in, and if you are using a 150+ gpm pump then these small losses will be unnoticeable.
A 158 gpm clear water 2inch pump like you can get off the shelf at Harbour freight for 180 bucks will run a 2 inch or 2 1/2 dredge in shallow water, but will probably require higher engine speed to do so (my buddies needs about 3/4 throttle at least). I have a pacer 200 gpm pump for my dredge that cost me 340$ but it will run up to a 3 inch and run my 2 1/2 at half throttle with great suction.
I know portability has its place, but sometimes its better to go with a little bigger pump, after all its better to have it and not need it, then need it and not have it. And once you get the 1.5 you will want bigger.