I have both inkjet and colour laser printers, and have used monochrome laser before. Colour lasers do not clog up the way that inkjets can. Mine does a really nice job on photos and certainly can do the fine detail of drawings. For non-colour work it can be set to print only using the black colour.
HOWEVER, I don't know of any colour laser printer that can make high-gloss photo prints. The high-gloss photo paper for that type of print just does not work in a laser printing system. I've tried it, and the laser toner fails to adhere to the paper and just brushes off the finished print. So, to make high-gloss photos I use my inkjet printers. Now, as you have experienced, that printer type has a problem with jets clogging up with dried out ink when left unused for a while. I have been able to deal with that by soaking the printer head on a damp Kleenex and running the printer's Head Cleaning maintenance process. But even that has limits. Right now it appears that one of my inkjet units simply can't be fixed that way, and I think it is likely that the print head itself has failed components, not just blocked jets. So I'm waiting for delivery of a replacement print head. I have replaced this head once before some years ago and that worked.
My other inkjet unit has a design that the print head is the ink cartridge, so that when you replace the ink cartridge, the print head also is replaced. In that system, the print head does not get old and fail that way. But it still needs soaking with wet Kleenex sometimes. Right now, though, I can't use it. It is a bit old, and apparently the printer driver for it does not work properly. The printer can print its own test pattern perfectly, but anything printed from the computer comes out with colours all wrong.
Among inkjet printers, if you are going to use it for colour photo work, I recommend NOT getting one with only three colours of ink (Cyan, Magenta, and Yellow). Get at least a four-colour system (including Black) so that you can get a full range of light to dark. There are fancier ones that add two or three more ink colours, and these tend to be lighter-intensity inks of the main colours, used especially for light-coloured areas of a photo. As far as resolution goes, 300 dpi is quite suitable for most photo work, but 600 dpi is better, especially if you need fine detail work, too.
I prefer a print head design that has separate ink cartridges for each colour so you only replace the one that went empty. One of my inkjets has the three colours in one cartridge, and Black separately which is good because Black gets used up faster. The other has five separate cartridges. There are Cyan, Magenta, Yellow and Black using dye-based inks for colour prints, plus a Pigment Black larger cartridge for solid black lines and text printing.
Oh yes, one other small feature factor. One of my inkjet units can be fed with continuous long paper (usually Z-folded) to print long banners. You can't get that in a laser printer., and not even on many inkjet units.
By the way, for smaller snapshot-sized photo prints, I have a different dedicated Epson photo printer. It does only 4" x 6" prints on paper from Epson. (I do use non-Epson ink cartridges with it.) The paper and ink combination used does a great job of photo printing, and the prints are just about instantly dry when they come out so they don't smear. Colours and gloss are very good. Moreover, the prints are pretty much waterproof, so a few water drops or wet fingers do not damage them.