YellowTops are primarily starting batteries, robust, but not deep-cycle like a solar power station is a deep-cycle. If they're discharged they want to be recharged fully as soon as possible.
I treated a pair of BlueTops like you're saying you'll be doing. They fought the good fight but I deep-cycled them (down to 10.5 volts) too many times for too long and I ultimately rendered them unserviceable. They lasted over 3 years with that abuse though which is a testimonial to their design. But even the best of batteries will hate you for sitting at 10.5 volts for a week over and over again.
The more often and farther you drain it without charging it back up soon, the faster you will kill it. Depending on how that plays out, your YellowTop could last a good long time. You just need to know what you're getting into.
If you only take it down to 12.5 volts and get it topped back up again in a couple of days, you'll do much better than I did.
http://www.optimabatteries.com/en-us/support/faqs