I've used Varathane water-based Spar Polyurethane satin spray on a bunch of bows, and have been very pleased with the results. Quickest, easiest way to finish a bow that I've tried. I strongly recommend using only the satin version, not gloss or semi-gloss. It's very fast and easy to use. I apply 5-6 coats, waiting only 5-10 minutes between coats. I typically spray everything but the back glass first-- that way I can put the bow down on the back glass between coats. Before spraying the back glass, I let the last coat on the belly, sides and riser dry for at least an hour. After that, the finish on the belly has dried enough to that you can set the bow down on the belly side of the limbs and then spray the coats on the back glass.
This stuff gives a nice uniform finish. I never sand between coats-- just spray, wait 5-10 minutes, and spray again. When fully dry, the satin finish isn't glass-smooth-- it has a very, very subtle texture. Nothing like an actual textured finish-- it's very subtle. After the final coat, I let the finish cure for at least a day or two. It may not need that long, but I figure if I'm going through the trouble, waiting a day or two before using the bow is no big deal.
It's water-based, so it doesn't give wood that warm amber glow that oil-based poly does. Just yesterday, I sprayed a Hill-style longbow with Eastern Red Cedar limbs and Hickory riser. I wanted to give the cedar and hickory the ambered look, so a few days ago I applied a couple of coats of Minwax oil-based gloss wipe-on polyurethane to the wood surfaces (not on the glass) and let it cure for a couple of days. I then applied 5-6 coats of the Varathane water-based spar satin spray over the entire bow. No sanding of the wipe-on poly or between the spray coats. The bow turned out great.
Here's the stuff. The stuff I got recently has a new label-- it's now got a green label. I buy it at Menards.
https://www.homedepot.com/p/Varathane-11-25-oz-Clear-Satin-Spar-Urethane-Spray-Paint-6-Pack-250281/202057150