Though my preferred method of composite construction is with the use of a female mould, there are times when the male method is the only way to accomplish the task (I'm working on one now).
I've seen a bunch of projects where the builder has laid up layer after layer of mat on his buck, ending up with a surface finish that looked like a photo of the Himalayas from 60,000 feet, needed a ton of sanding and mucho filling with bondo to get a satisfactory product, but if you insist... there is (was?) mat available to use with epoxy. It has a different binder that holds the short range glass fibers together but when I went to buy some for a project, even the guy selling it said, "... it doesn't work very well...".
I think if you use a 6 ounce cloth like weave #3733 (sometimes called canoe cloth because a lot of guys cover their rip'n'strip canoes with it), a good quality resin and some patience, you should be able to lay down the part okay.
Things to do: first, make paper "ply" patterns to imitate the shape of the glass cloth pieces and see how they will fit - if you can get the paper to drape okay - and newspaper is cheap, right - transfer the shapes to your cloth, do a dry fit with the cloth and then have at it. You'll probably need to have a couple of pieces of cloth for each ply / layer you put down and one of the "rules of thumb" is to have at least a half inch overlap on the pieces, kinda like shingling - an inch is better. Try to stagger the overlaps a bit for each layer to minimize having a couple of really thick areas in your lay up. If you have an intricate or fussy area in your lay up that the glass cloth seems to have problems going around, try changing the angle that you cut the cloth out of your fabric roll, as cloth has directionality (warp along the roll, fill or weft across it) and it drapes around or into a shape differently depending on the warp direction - experiment with a scrap piece of cloth first. Some of my bike parts have a specific warp direction specified for the cloth and of course all of my aircraft work does - makes a real difference. You could get real jammy and start using different warp directions for each ply of cloth, but maybe a bit over the top for a first project?
If you know beforehand where you're going to drill the mounting holes, add additional localized pieces of glass cloth - use circular ones, small to large, a little larger diameter each time to spread the load out (think upside-down wedding cake tiers) to the lay up.
Six ounce cloth doesn't have a really coarse weave texture and it fills easily with most pinhole fillers and / or a couple of coats of primer-surfacer, sanding after each application.
As far as the number of plies (layers) of cloth you need, it depends on the part shape and use. I think that a lot of people go overboard on the thickness of the part, but better that way than the other way around I guess. You can also bond in stiffeners - you can use a lot of different materials - but again, maybe a little over the top for a first project?
Hope this helps.
Regards,
Pat