If I did venture down this route, I don't mind having to change the algorithm daily, but I don't like the idea of having wallets all over the place and being signed up to loads of different pools.
Then this isn't the road you are looking for, as that is exactly the way it will need to be. It isn't so bad if you organize yourself properly. While there are multi-coin pools, none of them carry all coins, especially the new unknown ones. So you will indeed need to use multiple pools, just start recording your pool details somewhere, maybe in a spreadsheet or something so you can keep better track of them. You also might think about setting up a dedicated machine for to host all your alt coin wallets.
You can pick up an used machine on ebay for this purpose, as the main requirement will be the hard-drive capacity, which I recommend you only use a new drive as any used drives could be filled with viruses and malware, even if you do wipe it. You can also use an external USB drive, as you can get capacities of 4 TB for just $150 or so dollars.
Also, I wouldn't share any main coin wallets on that machine for extra security, and keep Bitcoin, Eth or other really valuable coins somewhere else; hardware wallet, paper wallet, or another dedicate machine.
Again, if this sounds like too much hassle, it probably isn't for you. The nice thing is you have incredible multiplier power if any of the coins you mien become popular and skyrocket in price. Think if you had 1,000 eth stashed away back when it was only trading for 20-30 cents. It didn't take much mining power back then to mine the 1,000 eth, so your costs would be minimal. Even if you mined 10 other coins during the same period that went totally bust, your profits from that single winner would have more than offset the losses from the others. This is the strategy of picking and holding the new or relatively unknown coins.
It is a speculative bet, but then again so is all mining. The coins you are minign right now could crash and never recover, so no matter what it is a risk. However, the less risky coins, in terms of immediate profits, also are the least likely to return 1000x gains. Ethereum did one from $14 to $1,400, but the chances are now much slimmer for it to go to $500,000 from $500, than it is an unknown coin to go from 3 cents to $30.00.