Re: Anchor line Storage
first, as to the anchor locker: I have the same kind. on some boats, they are made too short to hold the correct size anchor, so you have to cut the "shaft" of the anchor and redrill the hole. You also have to leave room for the shaft; if the rope is piled up on the bottom, it won't fit, so keep a hole open. I think I might try a short piece of 4" PVC to drop the anchor in.
second, as to the chain=boat length rule: depends on the boat and purpose. 20' of chain on a 20' boat is generally excessive; 10' is plenty. and all chain is not created equal. so heavier chain can be shorter.
third, anchoring "rules" depend on circumstances; the typical chart as to length, anchor size, chain length, etc. is for anchoring overnight in adverse conditions, way more than you need for a "picnic hook" or a lake with no current and little wind. I am assuming yours is a 17-22 foot boat? let us know. There are no "rules" for boating that fit all boats and situations except one.
fourth, I wouldn't hook to the bow eye; instead use the cleat at the top of the bow. Easier to get to, which is important when you have to untie quickly (see below). Also, for typical boating, you seldom if ever put out all the line, so you will be cleating anyway. And someday, when you are leaning over the bow to hook or unhook, you will drop your clip and lose the whole rig. Oh yes you will..
fifth, reconsider tying the bitter (end of the line) to the inside. I did that with mine mainly as a back-up against someone throwing the anchor and line out, unattached, or it coming untied. But I realized there are time you may need to throw out the whole rig. If you are anchored in current, and a non-swimmer falls overboard and is taken away by current, you don't have time to pull up the anchor to get them (around here, we anchor under bridges at night in the current in the winter. A man overboard, even a swimmer in a PFD, has to be retrieved within seconds or they are dead in the dark). Also when you hook a fish you may not have time to pull up. So I tie a float to the end, so if I throw the whole rig out, intentionally or not, I can go back and get it.
finally, as was said, drop the line loosely in the locker; don't coil it.
Let me caution, however, that by suggesting some downsizing, I do not suggest compromising safety. In places with current, especially tidal current near large bodies of water, the anchor is THE most important safety device, above even PFD's and radios. If you have a problem, your first priority is to stay where you are, and the ability to stay put rather than drift out to sea, to dangerous waters, to shipping lanes, out of sight or into the night can be a life/death factor. Where I boat on remote seaside barrier islands, my anchor rig is oversized.
ETA it occurred to me that your line hook operates mid-line, since you talk about hooking and tying off the end. Please adjust the above, if so.