On a recent home purchase, I submitted an offer and I was told there were no offers on the home when I submitted mine.

Your offer so to say?

It seems Xero and some of the others offer very limited capability here.

Who else in the education space offers this? 

Beside the “subject to” that’s recently become the subject of much debate we utilized  ”no interest short term owner financing”, the “2nd mortgage crank”, substitution of collateral, mortgage subordination, wrap loans, real estate “exchange” (not for tax reasons), sale - lease back, guaranteed rent payments, sale - buy back, land offered in lieu of down payment, zero coupon bonds as substitution of collateral, and a few others that escape my memory.  

I would prefer a Line of Credit product here specifically if it were me but I would certainly lean on other investors in your area on who those lenders are that offer such a thing. 

I will offer cash, and I don't care in what condition it is in or how much you owe on it".1 month later:You get an other letter in the mail.

I drove by it right away after it was listed and made them an offer for 100k cash sight unseen.

For example, how long has the single guy been at his current job?

People offering cash to buy houses are a dime a dozen.